Live analysis

1,002,972

1,002,972 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.).

1,002,972 (one million two thousand nine hundred seventy-two) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 19 × 53 × 83. Its proper divisors sum to 1,537,188, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4DDC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,960 1,002,961 1,002,962 1,002,963 1,002,964 1,002,965 1,002,966 1,002,967 1,002,968 1,002,969 1,002,970 1,002,971 1,002,972 1,002,973 1,002,974 1,002,975 1,002,976 1,002,977 1,002,978 1,002,979 1,002,980 1,002,981 1,002,982 1,002,983 1,002,984

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,792,001
Square (n²): 1,005,952,832,784
Cube (n³): 1,008,942,524,603,034,048
Divisor count: 48
σ(n) — sum of divisors: 2,540,160
φ(n) — Euler's totient: 307,008
Sum of prime factors: 162

Primality

Prime factorization: 2 ² × 3 × 19 × 53 × 83

Nearest primes: 1,002,931 (−41) · 1,002,973 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 12 · 19 · 38 · 53 · 57 · 76 · 83 · 106 · 114 · 159 · 166 · 212 · 228 · 249 · 318 · 332 · 498 · 636 · 996 · 1007 · 1577 · 2014 · 3021 · 3154 · 4028 · 4399 · 4731 · 6042 · 6308 · 8798 · 9462 · 12084 · 13197 · 17596 · 18924 · 26394 · 52788 · 83581 · 167162 · 250743 · 334324 · 501486 (half) · 1002972

Aliquot sum (sum of proper divisors): 1,537,188

Factor pairs (a × b = 1,002,972)

1 × 1002972

2 × 501486

3 × 334324

4 × 250743

6 × 167162

12 × 83581

19 × 52788

38 × 26394

53 × 18924

57 × 17596

76 × 13197

83 × 12084

106 × 9462

114 × 8798

159 × 6308

166 × 6042

212 × 4731

228 × 4399

249 × 4028

318 × 3154

332 × 3021

498 × 2014

636 × 1577

996 × 1007

First multiples

1,002,972 · 2,005,944 (double) · 3,008,916 · 4,011,888 · 5,014,860 · 6,017,832 · 7,020,804 · 8,023,776 · 9,026,748 · 10,029,720

Sums & aliquot sequence

As consecutive integers: 334,323 + 334,324 + 334,325 125,368 + 125,369 + … + 125,375 52,779 + 52,780 + … + 52,797 41,779 + 41,780 + … + 41,802

Aliquot sequence: 1,002,972 → 1,537,188 → 2,049,612 → 2,732,844 → 3,864,516 → 5,190,684 → 6,920,940 → 15,093,780 → 31,739,244 → 43,040,916 → 71,573,164 → 63,314,820 → 128,740,680 → 289,667,700 → 748,008,940 → 1,047,212,852 → 1,271,590,348 — unresolved within range

Continued fraction of √n

√1,002,972 = [1001; (2, 16, 18, 1, 1, 1, 13, 2, 1, 8, 13, 1, 8, 4, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, …)]

Representations

In words: one million two thousand nine hundred seventy-two
Ordinal: 1002972nd
Binary: 11110100110111011100
Octal: 3646734
Hexadecimal: 0xF4DDC
Base64: D03c
One's complement: 4,293,964,323 (32-bit)
Scientific notation: 1.002972 × 10⁶
As a duration: 1,002,972 s = 11 days, 14 hours, 36 minutes, 12 seconds

In other bases

ternary (3) 1212221211010

quaternary (4) 3310313130

quinary (5) 224043342

senary (6) 33255220

septenary (7) 11345055

nonary (9) 1787733

undecimal (11) 625603

duodecimal (12) 404510

tridecimal (13) 291699

tetradecimal (14) 1c172c

pentadecimal (15) 14c29c

As an angle

1,002,972° = 2,786 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬二千九百七十二
Chinese (financial): 壹佰萬貳仟玖佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٢٩٧٢ Devanagari १००२९७२ Bengali ১০০২৯৭২ Tamil ௧௦௦௨௯௭௨ Thai ๑๐๐๒๙๗๒ Tibetan ༡༠༠༢༩༧༢ Khmer ១០០២៩៧២ Lao ໑໐໐໒໙໗໒ Burmese ၁၀၀၂၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002972, here are decompositions:

41 + 1002931 = 1002972
43 + 1002929 = 1002972
59 + 1002913 = 1002972
73 + 1002899 = 1002972
79 + 1002893 = 1002972
101 + 1002871 = 1002972
109 + 1002863 = 1002972
151 + 1002821 = 1002972

Showing the first eight; more decompositions exist.

Hex color

#0F4DDC

RGB(15, 77, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.220.

Address: 0.15.77.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.220

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

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 1,002,972 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 US1,002,972 on Google Patents ↗ Look up on USPTO ↗