Live analysis

1,000,972

1,000,972 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.).

1,000,972 (one million nine hundred seventy-two) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 7² × 5,107. Its proper divisors sum to 1,037,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF460C.

Abundant Number Cube-Free Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,000,960 1,000,961 1,000,962 1,000,963 1,000,964 1,000,965 1,000,966 1,000,967 1,000,968 1,000,969 1,000,970 1,000,971 1,000,972 1,000,973 1,000,974 1,000,975 1,000,976 1,000,977 1,000,978 1,000,979 1,000,980 1,000,981 1,000,982 1,000,983 1,000,984

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 2,790,001
Square (n²): 1,001,944,944,784
Cube (n³): 1,002,918,835,270,330,048
Divisor count: 18
σ(n) — sum of divisors: 2,038,092
φ(n) — Euler's totient: 428,904
Sum of prime factors: 5,125

Primality

Prime factorization: 2 ² × 7 ² × 5107

Nearest primes: 1,000,969 (−3) · 1,000,973 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 7 · 14 · 28 · 49 · 98 · 196 · 5107 · 10214 · 20428 · 35749 · 71498 · 142996 · 250243 · 500486 (half) · 1000972

Aliquot sum (sum of proper divisors): 1,037,120

Factor pairs (a × b = 1,000,972)

1 × 1000972

2 × 500486

4 × 250243

7 × 142996

14 × 71498

28 × 35749

49 × 20428

98 × 10214

196 × 5107

First multiples

1,000,972 · 2,001,944 (double) · 3,002,916 · 4,003,888 · 5,004,860 · 6,005,832 · 7,006,804 · 8,007,776 · 9,008,748 · 10,009,720

Sums & aliquot sequence

As consecutive integers: 142,993 + 142,994 + … + 142,999 125,118 + 125,119 + … + 125,125 20,404 + 20,405 + … + 20,452 17,847 + 17,848 + … + 17,902

Aliquot sequence: 1,000,972 → 1,037,120 → 1,791,424 → 1,921,040 → 3,167,920 → 5,251,184 → 5,019,736 → 4,570,664 → 5,223,736 → 5,970,104 → 8,007,496 → 9,900,344 → 8,662,816 → 8,486,288 → 7,955,926 → 5,193,002 → 2,596,504 — unresolved within range

Continued fraction of √n

√1,000,972 = [1000; (2, 17, 4, 1, 4, 3, 3, 4, 8, 500, 8, 4, 3, 3, 4, 1, 4, 17, 2, 2000)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one million nine hundred seventy-two
Ordinal: 1000972nd
Binary: 11110100011000001100
Octal: 3643014
Hexadecimal: 0xF460C
Base64: D0YM
One's complement: 4,293,966,323 (32-bit)
Scientific notation: 1.000972 × 10⁶
As a duration: 1,000,972 s = 11 days, 14 hours, 2 minutes, 52 seconds

In other bases

ternary (3) 1212212002001

quaternary (4) 3310120030

quinary (5) 224012342

senary (6) 33242044

septenary (7) 11336200

nonary (9) 1785061

undecimal (11) 624055

duodecimal (12) 403324

tridecimal (13) 2907bb

tetradecimal (14) 1c0b00

pentadecimal (15) 14b8b7

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬零九百七十二
Chinese (financial): 壹佰萬零玖佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٠٩٧٢ Devanagari १०००९७२ Bengali ১০০০৯৭২ Tamil ௧௦௦௦௯௭௨ Thai ๑๐๐๐๙๗๒ Tibetan ༡༠༠༠༩༧༢ Khmer ១០០០៩៧២ Lao ໑໐໐໐໙໗໒ Burmese ၁၀၀၀၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000972, here are decompositions:

3 + 1000969 = 1000972
41 + 1000931 = 1000972
53 + 1000919 = 1000972
83 + 1000889 = 1000972
113 + 1000859 = 1000972
179 + 1000793 = 1000972
251 + 1000721 = 1000972
281 + 1000691 = 1000972

Showing the first eight; more decompositions exist.

Hex color

#0F460C

RGB(15, 70, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.12.

Address: 0.15.70.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.12

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 1,000,972 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 US1,000,972 on Google Patents ↗ Look up on USPTO ↗