Live analysis

1,044,000

1,044,000 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,044,000 (one million forty-four thousand) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 5³ × 29. Its proper divisors sum to 2,788,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFEE20.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,043,988 1,043,989 1,043,990 1,043,991 1,043,992 1,043,993 1,043,994 1,043,995 1,043,996 1,043,997 1,043,998 1,043,999 1,044,000 1,044,001 1,044,002 1,044,003 1,044,004 1,044,005 1,044,006 1,044,007 1,044,008 1,044,009 1,044,010 1,044,011 1,044,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,401
Square (n²): 1,089,936,000,000
Cube (n³): 1,137,893,184,000,000,000
Divisor count: 144
σ(n) — sum of divisors: 3,832,920
φ(n) — Euler's totient: 268,800
Sum of prime factors: 60

Primality

Prime factorization: 2 ⁵ × 3 ² × 5 ³ × 29

Nearest primes: 1,043,981 (−19) · 1,044,019 (+19)

Divisors & multiples

All divisors (144)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 29 · 30 · 32 · 36 · 40 · 45 · 48 · 50 · 58 · 60 · 72 · 75 · 80 · 87 · 90 · 96 · 100 · 116 · 120 · 125 · 144 · 145 · 150 · 160 · 174 · 180 · 200 · 225 · 232 · 240 · 250 · 261 · 288 · 290 · 300 · 348 · 360 · 375 · 400 · 435 · 450 · 464 · 480 · 500 · 522 · 580 · 600 · 696 · 720 · 725 · 750 · 800 · 870 · 900 · 928 · 1000 · 1044 · 1125 · 1160 · 1200 · 1305 · 1392 · 1440 · 1450 · 1500 · 1740 · 1800 · 2000 · 2088 · 2175 · 2250 · 2320 · 2400 · 2610 · 2784 · 2900 · 3000 · 3480 · 3600 · 3625 · 4000 · 4176 · 4350 · 4500 · 4640 · 5220 · 5800 · 6000 · 6525 · 6960 · 7200 · 7250 · 8352 · 8700 · 9000 · 10440 · 10875 · 11600 · 12000 · 13050 · 13920 · 14500 · 17400 · 18000 · 20880 · 21750 · 23200 · 26100 · 29000 · 32625 · 34800 · 36000 · 41760 · 43500 · 52200 · 58000 · 65250 · 69600 · 87000 · 104400 · 116000 · 130500 · 174000 · 208800 · 261000 · 348000 · 522000 (half) · 1044000

Aliquot sum (sum of proper divisors): 2,788,920

Factor pairs (a × b = 1,044,000)

1 × 1044000

2 × 522000

3 × 348000

4 × 261000

5 × 208800

6 × 174000

8 × 130500

9 × 116000

10 × 104400

12 × 87000

15 × 69600

16 × 65250

18 × 58000

20 × 52200

24 × 43500

25 × 41760

29 × 36000

30 × 34800

32 × 32625

36 × 29000

40 × 26100

45 × 23200

48 × 21750

50 × 20880

58 × 18000

60 × 17400

72 × 14500

75 × 13920

80 × 13050

87 × 12000

90 × 11600

96 × 10875

100 × 10440

116 × 9000

120 × 8700

125 × 8352

144 × 7250

145 × 7200

150 × 6960

160 × 6525

174 × 6000

180 × 5800

200 × 5220

225 × 4640

232 × 4500

240 × 4350

250 × 4176

261 × 4000

288 × 3625

290 × 3600

300 × 3480

348 × 3000

360 × 2900

375 × 2784

400 × 2610

435 × 2400

450 × 2320

464 × 2250

480 × 2175

500 × 2088

522 × 2000

580 × 1800

600 × 1740

696 × 1500

720 × 1450

725 × 1440

750 × 1392

800 × 1305

870 × 1200

900 × 1160

928 × 1125

1000 × 1044

First multiples

1,044,000 · 2,088,000 (double) · 3,132,000 · 4,176,000 · 5,220,000 · 6,264,000 · 7,308,000 · 8,352,000 · 9,396,000 · 10,440,000

Sums & aliquot sequence

As a sum of two squares: 60² + 1,020² = 228² + 996² = 564² + 852² = 660² + 780²

As consecutive integers: 347,999 + 348,000 + 348,001 208,798 + 208,799 + 208,800 + 208,801 + 208,802 115,996 + 115,997 + … + 116,004 69,593 + 69,594 + … + 69,607

Aliquot sequence: 1,044,000 → 2,788,920 → 6,496,200 → 16,122,330 → 32,384,934 → 41,884,866 → 48,865,716 → 77,532,556 → 58,718,804 → 45,340,396 → 34,005,304 → 34,628,696 → 30,447,304 → 28,067,096 → 24,558,724 → 18,419,050 → 19,391,030 — unresolved within range

Continued fraction of √n

√1,044,000 = [1021; (1, 3, 4, 2, 28, 2, 1, 81, 14, 5, 1, 1, 2, 3, 2, 1, 3, 81, 2, 7, 1, 55, 1, 7, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one million forty-four thousand
Ordinal: 1044000th
Binary: 11111110111000100000
Octal: 3767040
Hexadecimal: 0xFEE20
Base64: D+4g
One's complement: 4,293,923,295 (32-bit)
Scientific notation: 1.044 × 10⁶
As a duration: 1,044,000 s = 12 days, 2 hours

In other bases

ternary (3) 1222001002200

quaternary (4) 3332320200

quinary (5) 231402000

senary (6) 34213200

septenary (7) 11605506

nonary (9) 1861080

undecimal (11) 653411

duodecimal (12) 424200

tridecimal (13) 2a7269

tetradecimal (14) 1d2676

pentadecimal (15) 159500

As an angle

1,044,000° = 2,900 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 · ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼
Chinese: 一百零四萬四千
Chinese (financial): 壹佰零肆萬肆仟

In other modern scripts

Eastern Arabic ١٠٤٤٠٠٠ Devanagari १०४४००० Bengali ১০৪৪০০০ Tamil ௧௦௪௪௦௦௦ Thai ๑๐๔๔๐๐๐ Tibetan ༡༠༤༤༠༠༠ Khmer ១០៤៤០០០ Lao ໑໐໔໔໐໐໐ Burmese ၁၀၄၄၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1044000, here are decompositions:

19 + 1043981 = 1044000
31 + 1043969 = 1044000
71 + 1043929 = 1044000
79 + 1043921 = 1044000
101 + 1043899 = 1044000
103 + 1043897 = 1044000
127 + 1043873 = 1044000
131 + 1043869 = 1044000

Showing the first eight; more decompositions exist.

Hex color

#0FEE20

RGB(15, 238, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.238.32.

Address: 0.15.238.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.238.32

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 4000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4000-04-01 (DMMYYYY (Euro, single-digit day))
4000-10-04 (MMDYYYY (US, single-digit day))
4000-04-10 (DDMYYYY (Euro, single-digit month))

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,044,000 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,044,000 on Google Patents ↗ Look up on USPTO ↗