Live analysis

1,008,972

1,008,972 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.).

1,008,972 (one million eight thousand nine hundred seventy-two) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 28,027. Its proper divisors sum to 1,541,576, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF654C.

Abundant Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,008,960 1,008,961 1,008,962 1,008,963 1,008,964 1,008,965 1,008,966 1,008,967 1,008,968 1,008,969 1,008,970 1,008,971 1,008,972 1,008,973 1,008,974 1,008,975 1,008,976 1,008,977 1,008,978 1,008,979 1,008,980 1,008,981 1,008,982 1,008,983 1,008,984

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,798,001
Recamán's sequence: a(347,507) = 1,008,972
Square (n²): 1,018,024,496,784
Cube (n³): 1,027,158,212,569,146,048
Divisor count: 18
σ(n) — sum of divisors: 2,550,548
φ(n) — Euler's totient: 336,312
Sum of prime factors: 28,037

Primality

Prime factorization: 2 ² × 3 ² × 28027

Nearest primes: 1,008,947 (−25) · 1,008,979 (+7)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 28027 · 56054 · 84081 · 112108 · 168162 · 252243 · 336324 · 504486 (half) · 1008972

Aliquot sum (sum of proper divisors): 1,541,576

Factor pairs (a × b = 1,008,972)

1 × 1008972

2 × 504486

3 × 336324

4 × 252243

6 × 168162

9 × 112108

12 × 84081

18 × 56054

36 × 28027

First multiples

1,008,972 · 2,017,944 (double) · 3,026,916 · 4,035,888 · 5,044,860 · 6,053,832 · 7,062,804 · 8,071,776 · 9,080,748 · 10,089,720

Sums & aliquot sequence

As consecutive integers: 336,323 + 336,324 + 336,325 126,118 + 126,119 + … + 126,125 112,104 + 112,105 + … + 112,112 42,029 + 42,030 + … + 42,052

Aliquot sequence: 1,008,972 → 1,541,576 → 1,348,894 → 702,386 → 358,714 → 179,360 → 274,240 → 379,556 → 284,674 → 175,226 → 87,616 → 91,073 → 1,555 → 317 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,008,972 = [1004; (2, 9, 1, 10, 74, 3, 5, 2, 1, 1, 4, 4, 1, 23, 1, 153, 1, 1, 2, 1, 4, 1, 7, 2, …)]

Representations

In words: one million eight thousand nine hundred seventy-two
Ordinal: 1008972nd
Binary: 11110110010101001100
Octal: 3662514
Hexadecimal: 0xF654C
Base64: D2VM
One's complement: 4,293,958,323 (32-bit)
Scientific notation: 1.008972 × 10⁶
As a duration: 1,008,972 s = 11 days, 16 hours, 16 minutes, 12 seconds

In other bases

ternary (3) 1220021001100

quaternary (4) 3312111030

quinary (5) 224241342

senary (6) 33343100

septenary (7) 11401416

nonary (9) 1807040

undecimal (11) 62a068

duodecimal (12) 407a90

tridecimal (13) 294333

tetradecimal (14) 1c39b6

pentadecimal (15) 14de4c

As an angle

1,008,972° = 2,802 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬八千九百七十二
Chinese (financial): 壹佰萬捌仟玖佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٨٩٧٢ Devanagari १००८९७२ Bengali ১০০৮৯৭২ Tamil ௧௦௦௮௯௭௨ Thai ๑๐๐๘๙๗๒ Tibetan ༡༠༠༨༩༧༢ Khmer ១០០៨៩៧២ Lao ໑໐໐໘໙໗໒ Burmese ၁၀၀၈၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008972, here are decompositions:

59 + 1008913 = 1008972
61 + 1008911 = 1008972
71 + 1008901 = 1008972
101 + 1008871 = 1008972
109 + 1008863 = 1008972
113 + 1008859 = 1008972
163 + 1008809 = 1008972
179 + 1008793 = 1008972

Showing the first eight; more decompositions exist.

Hex color

#0F654C

RGB(15, 101, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.101.76.

Address: 0.15.101.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.101.76

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 1,008,972 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 US1,008,972 on Google Patents ↗ Look up on USPTO ↗