Live analysis

1,041,000

1,041,000 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.).

1,041,000 (one million forty-one thousand) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5³ × 347. Its proper divisors sum to 2,216,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE268.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,040,988 1,040,989 1,040,990 1,040,991 1,040,992 1,040,993 1,040,994 1,040,995 1,040,996 1,040,997 1,040,998 1,040,999 1,041,000 1,041,001 1,041,002 1,041,003 1,041,004 1,041,005 1,041,006 1,041,007 1,041,008 1,041,009 1,041,010 1,041,011 1,041,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 1,401
Square (n²): 1,083,681,000,000
Cube (n³): 1,128,111,921,000,000,000
Divisor count: 64
σ(n) — sum of divisors: 3,257,280
φ(n) — Euler's totient: 276,800
Sum of prime factors: 371

Primality

Prime factorization: 2 ³ × 3 × 5 ³ × 347

Nearest primes: 1,040,989 (−11) · 1,041,041 (+41)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 25 · 30 · 40 · 50 · 60 · 75 · 100 · 120 · 125 · 150 · 200 · 250 · 300 · 347 · 375 · 500 · 600 · 694 · 750 · 1000 · 1041 · 1388 · 1500 · 1735 · 2082 · 2776 · 3000 · 3470 · 4164 · 5205 · 6940 · 8328 · 8675 · 10410 · 13880 · 17350 · 20820 · 26025 · 34700 · 41640 · 43375 · 52050 · 69400 · 86750 · 104100 · 130125 · 173500 · 208200 · 260250 · 347000 · 520500 (half) · 1041000

Aliquot sum (sum of proper divisors): 2,216,280

Factor pairs (a × b = 1,041,000)

1 × 1041000

2 × 520500

3 × 347000

4 × 260250

5 × 208200

6 × 173500

8 × 130125

10 × 104100

12 × 86750

15 × 69400

20 × 52050

24 × 43375

25 × 41640

30 × 34700

40 × 26025

50 × 20820

60 × 17350

75 × 13880

100 × 10410

120 × 8675

125 × 8328

150 × 6940

200 × 5205

250 × 4164

300 × 3470

347 × 3000

375 × 2776

500 × 2082

600 × 1735

694 × 1500

750 × 1388

1000 × 1041

First multiples

1,041,000 · 2,082,000 (double) · 3,123,000 · 4,164,000 · 5,205,000 · 6,246,000 · 7,287,000 · 8,328,000 · 9,369,000 · 10,410,000

Sums & aliquot sequence

As consecutive integers: 346,999 + 347,000 + 347,001 208,198 + 208,199 + 208,200 + 208,201 + 208,202 69,393 + 69,394 + … + 69,407 65,055 + 65,056 + … + 65,070

Aliquot sequence: 1,041,000 → 2,216,280 → 5,456,040 → 11,780,760 → 25,428,840 → 55,221,240 → 113,984,520 → 266,313,720 → 532,627,800 → 1,141,907,880 → 2,286,674,520 → 5,137,124,520 → 12,838,499,160 — keeps growing

Continued fraction of √n

√1,041,000 = [1020; (3, 2, 2, 81, 4, 1, 2, 1, 1, 1, 1, 81, 85, 81, 1, 1, 1, 1, 2, 1, 4, 81, 2, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one million forty-one thousand
Ordinal: 1041000th
Binary: 11111110001001101000
Octal: 3761150
Hexadecimal: 0xFE268
Base64: D+Jo
One's complement: 4,293,926,295 (32-bit)
Scientific notation: 1.041 × 10⁶
As a duration: 1,041,000 s = 12 days, 1 hour, 10 minutes

In other bases

ternary (3) 1221212222120

quaternary (4) 3332021220

quinary (5) 231303000

senary (6) 34151240

septenary (7) 11563662

nonary (9) 1855876

undecimal (11) 651134

duodecimal (12) 422520

tridecimal (13) 2a5a9c

tetradecimal (14) 1d1532

pentadecimal (15) 1586a0

As an angle

1,041,000° = 2,891 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼
Chinese: 一百零四萬一千
Chinese (financial): 壹佰零肆萬壹仟

In other modern scripts

Eastern Arabic ١٠٤١٠٠٠ Devanagari १०४१००० Bengali ১০৪১০০০ Tamil ௧௦௪௧௦௦௦ Thai ๑๐๔๑๐๐๐ Tibetan ༡༠༤༡༠༠༠ Khmer ១០៤១០០០ Lao ໑໐໔໑໐໐໐ Burmese ၁၀၄၁၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041000, here are decompositions:

11 + 1040989 = 1041000
19 + 1040981 = 1041000
41 + 1040959 = 1041000
53 + 1040947 = 1041000
61 + 1040939 = 1041000
71 + 1040929 = 1041000
101 + 1040899 = 1041000
109 + 1040891 = 1041000

Showing the first eight; more decompositions exist.

Hex color

#0FE268

RGB(15, 226, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.226.104.

Address: 0.15.226.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.226.104

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 1000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1000-04-01 (DMMYYYY (Euro, single-digit day))
1000-10-04 (MMDYYYY (US, single-digit day))
1000-04-10 (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 1,041,000 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 US1,041,000 on Google Patents ↗ Look up on USPTO ↗