Live analysis

1,047,000

1,047,000 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.).

1,047,000 (one million forty-seven thousand) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5³ × 349. Its proper divisors sum to 2,229,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF9D8.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,046,988 1,046,989 1,046,990 1,046,991 1,046,992 1,046,993 1,046,994 1,046,995 1,046,996 1,046,997 1,046,998 1,046,999 1,047,000 1,047,001 1,047,002 1,047,003 1,047,004 1,047,005 1,047,006 1,047,007 1,047,008 1,047,009 1,047,010 1,047,011 1,047,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 7,401
Square (n²): 1,096,209,000,000
Cube (n³): 1,147,730,823,000,000,000
Divisor count: 64
σ(n) — sum of divisors: 3,276,000
φ(n) — Euler's totient: 278,400
Sum of prime factors: 373

Primality

Prime factorization: 2 ³ × 3 × 5 ³ × 349

Nearest primes: 1,046,999 (−1) · 1,047,031 (+31)

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 · 349 · 375 · 500 · 600 · 698 · 750 · 1000 · 1047 · 1396 · 1500 · 1745 · 2094 · 2792 · 3000 · 3490 · 4188 · 5235 · 6980 · 8376 · 8725 · 10470 · 13960 · 17450 · 20940 · 26175 · 34900 · 41880 · 43625 · 52350 · 69800 · 87250 · 104700 · 130875 · 174500 · 209400 · 261750 · 349000 · 523500 (half) · 1047000

Aliquot sum (sum of proper divisors): 2,229,000

Factor pairs (a × b = 1,047,000)

1 × 1047000

2 × 523500

3 × 349000

4 × 261750

5 × 209400

6 × 174500

8 × 130875

10 × 104700

12 × 87250

15 × 69800

20 × 52350

24 × 43625

25 × 41880

30 × 34900

40 × 26175

50 × 20940

60 × 17450

75 × 13960

100 × 10470

120 × 8725

125 × 8376

150 × 6980

200 × 5235

250 × 4188

300 × 3490

349 × 3000

375 × 2792

500 × 2094

600 × 1745

698 × 1500

750 × 1396

1000 × 1047

First multiples

1,047,000 · 2,094,000 (double) · 3,141,000 · 4,188,000 · 5,235,000 · 6,282,000 · 7,329,000 · 8,376,000 · 9,423,000 · 10,470,000

Sums & aliquot sequence

As consecutive integers: 348,999 + 349,000 + 349,001 209,398 + 209,399 + 209,400 + 209,401 + 209,402 69,793 + 69,794 + … + 69,807 65,430 + 65,431 + … + 65,445

Aliquot sequence: 1,047,000 → 2,229,000 → 4,734,840 → 11,750,280 → 23,500,920 → 50,918,280 → 123,661,560 → 281,053,320 → 606,490,680 → 1,343,730,120 → 2,702,883,000 → 6,174,141,000 → 13,089,188,280 — keeps growing

Continued fraction of √n

√1,047,000 = [1023; (4, 2, 1, 9, 2, 1, 17, 1, 3, 6, 1, 4, 1, 4, 5, 1, 2, 1, 7, 81, 1, 2, 1, 2, …)]

Representations

In words: one million forty-seven thousand
Ordinal: 1047000th
Binary: 11111111100111011000
Octal: 3774730
Hexadecimal: 0xFF9D8
Base64: D/nY
One's complement: 4,293,920,295 (32-bit)
Scientific notation: 1.047 × 10⁶
As a duration: 1,047,000 s = 12 days, 2 hours, 50 minutes

In other bases

ternary (3) 1222012012210

quaternary (4) 3333213120

quinary (5) 232001000

senary (6) 34235120

septenary (7) 11620323

nonary (9) 1865183

undecimal (11) 655699

duodecimal (12) 425aa0

tridecimal (13) 2a8736

tetradecimal (14) 1d37ba

pentadecimal (15) 15a350

As an angle

1,047,000° = 2,908 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Chinese: 一百零四萬七千
Chinese (financial): 壹佰零肆萬柒仟

In other modern scripts

Eastern Arabic ١٠٤٧٠٠٠ Devanagari १०४७००० Bengali ১০৪৭০০০ Tamil ௧௦௪௭௦௦௦ Thai ๑๐๔๗๐๐๐ Tibetan ༡༠༤༧༠༠༠ Khmer ១០៤៧០០០ Lao ໑໐໔໗໐໐໐ Burmese ၁၀၄၇၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1047000, here are decompositions:

7 + 1046993 = 1047000
23 + 1046977 = 1047000
41 + 1046959 = 1047000
67 + 1046933 = 1047000
83 + 1046917 = 1047000
103 + 1046897 = 1047000
137 + 1046863 = 1047000
151 + 1046849 = 1047000

Showing the first eight; more decompositions exist.

Hex color

#0FF9D8

RGB(15, 249, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.249.216.

Address: 0.15.249.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.249.216

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 7000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

7000-04-01 (DMMYYYY (Euro, single-digit day))
7000-10-04 (MMDYYYY (US, single-digit day))
7000-04-10 (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 1,047,000 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 US1,047,000 on Google Patents ↗ Look up on USPTO ↗