Live analysis

1,012,004

1,012,004 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.).

1,012,004 (one million twelve thousand four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 47 × 769. Its proper divisors sum to 1,057,756, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7124.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,011,992 1,011,993 1,011,994 1,011,995 1,011,996 1,011,997 1,011,998 1,011,999 1,012,000 1,012,001 1,012,002 1,012,003 1,012,004 1,012,005 1,012,006 1,012,007 1,012,008 1,012,009 1,012,010 1,012,011 1,012,012 1,012,013 1,012,014 1,012,015 1,012,016

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 4,002,101
Square (n²): 1,024,152,096,016
Cube (n³): 1,036,446,017,776,576,064
Divisor count: 24
σ(n) — sum of divisors: 2,069,760
φ(n) — Euler's totient: 423,936
Sum of prime factors: 827

Primality

Prime factorization: 2 ² × 7 × 47 × 769

Nearest primes: 1,011,979 (−25) · 1,012,007 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 28 · 47 · 94 · 188 · 329 · 658 · 769 · 1316 · 1538 · 3076 · 5383 · 10766 · 21532 · 36143 · 72286 · 144572 · 253001 · 506002 (half) · 1012004

Aliquot sum (sum of proper divisors): 1,057,756

Factor pairs (a × b = 1,012,004)

1 × 1012004

2 × 506002

4 × 253001

7 × 144572

14 × 72286

28 × 36143

47 × 21532

94 × 10766

188 × 5383

329 × 3076

658 × 1538

769 × 1316

First multiples

1,012,004 · 2,024,008 (double) · 3,036,012 · 4,048,016 · 5,060,020 · 6,072,024 · 7,084,028 · 8,096,032 · 9,108,036 · 10,120,040

Sums & aliquot sequence

As consecutive integers: 144,569 + 144,570 + … + 144,575 126,497 + 126,498 + … + 126,504 21,509 + 21,510 + … + 21,555 18,044 + 18,045 + … + 18,099

Aliquot sequence: 1,012,004 → 1,057,756 → 1,117,060 → 1,624,700 → 2,791,684 → 2,832,956 → 3,263,428 → 3,490,172 → 3,615,220 → 6,061,580 → 8,997,940 → 12,597,452 → 13,185,844 → 13,551,244 → 16,094,540 → 26,825,092 → 26,825,148 — unresolved within range

Continued fraction of √n

√1,012,004 = [1005; (1, 61, 1, 6, 1, 30, 1, 1, 3, 1, 1, 15, 6, 2, 2, 7, 2, 4, 1, 4, 1, 3, 9, 1, …)]

Representations

In words: one million twelve thousand four
Ordinal: 1012004th
Binary: 11110111000100100100
Octal: 3670444
Hexadecimal: 0xF7124
Base64: D3Ek
One's complement: 4,293,955,291 (32-bit)
Scientific notation: 1.012004 × 10⁶
As a duration: 1,012,004 s = 11 days, 17 hours, 6 minutes, 44 seconds

In other bases

ternary (3) 1220102012122

quaternary (4) 3313010210

quinary (5) 224341004

senary (6) 33405112

septenary (7) 11413310

nonary (9) 1812178

undecimal (11) 631374

duodecimal (12) 409798

tridecimal (13) 295826

tetradecimal (14) 1c4b40

pentadecimal (15) 14ecbe

As an angle

1,012,004° = 2,811 × 360° + 44°

44° ≈ 0.768 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓏺𓏺𓏺𓏺
Chinese: 一百零一萬二千零四
Chinese (financial): 壹佰零壹萬貳仟零肆

In other modern scripts

Eastern Arabic ١٠١٢٠٠٤ Devanagari १०१२००४ Bengali ১০১২০০৪ Tamil ௧௦௧௨௦௦௪ Thai ๑๐๑๒๐๐๔ Tibetan ༡༠༡༢༠༠༤ Khmer ១០១២០០៤ Lao ໑໐໑໒໐໐໔ Burmese ၁၀၁၂၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012004, here are decompositions:

31 + 1011973 = 1012004
43 + 1011961 = 1012004
61 + 1011943 = 1012004
67 + 1011937 = 1012004
241 + 1011763 = 1012004
271 + 1011733 = 1012004
307 + 1011697 = 1012004
337 + 1011667 = 1012004

Showing the first eight; more decompositions exist.

Hex color

#0F7124

RGB(15, 113, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.36.

Address: 0.15.113.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.36

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 2004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2004-10-01 (MMDYYYY (US, single-digit day))
2004-01-10 (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 1,012,004 and was likely granted around 1911.

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

Look up US1,012,004 on Google Patents ↗ Look up on USPTO ↗