Live analysis

1,007,972

1,007,972 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.).

1,007,972 (one million seven thousand nine hundred seventy-two) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 35,999. Its proper divisors sum to 1,008,028, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6164.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,960 1,007,961 1,007,962 1,007,963 1,007,964 1,007,965 1,007,966 1,007,967 1,007,968 1,007,969 1,007,970 1,007,971 1,007,972 1,007,973 1,007,974 1,007,975 1,007,976 1,007,977 1,007,978 1,007,979 1,007,980 1,007,981 1,007,982 1,007,983 1,007,984

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 26
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 2,797,001
Recamán's sequence: a(349,507) = 1,007,972
Square (n²): 1,016,007,552,784
Cube (n³): 1,024,107,164,994,794,048
Divisor count: 12
σ(n) — sum of divisors: 2,016,000
φ(n) — Euler's totient: 431,976
Sum of prime factors: 36,010

Primality

Prime factorization: 2 ² × 7 × 35999

Nearest primes: 1,007,971 (−1) · 1,007,977 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 35999 · 71998 · 143996 · 251993 · 503986 (half) · 1007972

Aliquot sum (sum of proper divisors): 1,008,028

Factor pairs (a × b = 1,007,972)

1 × 1007972

2 × 503986

4 × 251993

7 × 143996

14 × 71998

28 × 35999

First multiples

1,007,972 · 2,015,944 (double) · 3,023,916 · 4,031,888 · 5,039,860 · 6,047,832 · 7,055,804 · 8,063,776 · 9,071,748 · 10,079,720

Sums & aliquot sequence

As consecutive integers: 143,993 + 143,994 + … + 143,999 125,993 + 125,994 + … + 126,000 17,972 + 17,973 + … + 18,027

Aliquot sequence: 1,007,972 → 1,008,028 → 1,114,652 → 1,432,564 → 1,484,126 → 1,076,770 → 996,830 → 820,594 → 463,886 → 231,946 → 177,302 → 88,654 → 51,386 → 25,696 → 30,248 → 29,752 → 26,048 — unresolved within range

Continued fraction of √n

√1,007,972 = [1003; (1, 44, 1, 1, 1, 2, 1, 15, 1, 6, 1, 1, 4, 3, 2, 2, 3, 2, 2, 1, 64, 15, 1, 2, …)]

Representations

In words: one million seven thousand nine hundred seventy-two
Ordinal: 1007972nd
Binary: 11110110000101100100
Octal: 3660544
Hexadecimal: 0xF6164
Base64: D2Fk
One's complement: 4,293,959,323 (32-bit)
Scientific notation: 1.007972 × 10⁶
As a duration: 1,007,972 s = 11 days, 15 hours, 59 minutes, 32 seconds

In other bases

ternary (3) 1220012200022

quaternary (4) 3312011210

quinary (5) 224223342

senary (6) 33334312

septenary (7) 11365460

nonary (9) 1805608

undecimal (11) 629339

duodecimal (12) 407398

tridecimal (13) 293a44

tetradecimal (14) 1c34a0

pentadecimal (15) 14d9d2

As an angle

1,007,972° = 2,799 × 360° + 332°

332° ≈ 5.794 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬七千九百七十二
Chinese (financial): 壹佰萬柒仟玖佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٧٩٧٢ Devanagari १००७९७२ Bengali ১০০৭৯৭২ Tamil ௧௦௦௭௯௭௨ Thai ๑๐๐๗๙๗๒ Tibetan ༡༠༠༧༩༧༢ Khmer ១០០៧៩៧២ Lao ໑໐໐໗໙໗໒ Burmese ၁၀၀၇၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007972, here are decompositions:

13 + 1007959 = 1007972
223 + 1007749 = 1007972
241 + 1007731 = 1007972
271 + 1007701 = 1007972
373 + 1007599 = 1007972
571 + 1007401 = 1007972
613 + 1007359 = 1007972
619 + 1007353 = 1007972

Showing the first eight; more decompositions exist.

Hex color

#0F6164

RGB(15, 97, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.100.

Address: 0.15.97.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.100

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 1,007,972 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 US1,007,972 on Google Patents ↗ Look up on USPTO ↗