Live analysis

1,007,172

1,007,172 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.).

1,007,172 (one million seven thousand one hundred seventy-two) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 101 × 277. Its proper divisors sum to 1,573,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E44.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,007,160 1,007,161 1,007,162 1,007,163 1,007,164 1,007,165 1,007,166 1,007,167 1,007,168 1,007,169 1,007,170 1,007,171 1,007,172 1,007,173 1,007,174 1,007,175 1,007,176 1,007,177 1,007,178 1,007,179 1,007,180 1,007,181 1,007,182 1,007,183 1,007,184

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,717,001
Square (n²): 1,014,395,437,584
Cube (n³): 1,021,670,681,662,352,448
Divisor count: 36
σ(n) — sum of divisors: 2,580,396
φ(n) — Euler's totient: 331,200
Sum of prime factors: 388

Primality

Prime factorization: 2 ² × 3 ² × 101 × 277

Nearest primes: 1,007,161 (−11) · 1,007,173 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 101 · 202 · 277 · 303 · 404 · 554 · 606 · 831 · 909 · 1108 · 1212 · 1662 · 1818 · 2493 · 3324 · 3636 · 4986 · 9972 · 27977 · 55954 · 83931 · 111908 · 167862 · 251793 · 335724 · 503586 (half) · 1007172

Aliquot sum (sum of proper divisors): 1,573,224

Factor pairs (a × b = 1,007,172)

1 × 1007172

2 × 503586

3 × 335724

4 × 251793

6 × 167862

9 × 111908

12 × 83931

18 × 55954

36 × 27977

101 × 9972

202 × 4986

277 × 3636

303 × 3324

404 × 2493

554 × 1818

606 × 1662

831 × 1212

909 × 1108

First multiples

1,007,172 · 2,014,344 (double) · 3,021,516 · 4,028,688 · 5,035,860 · 6,043,032 · 7,050,204 · 8,057,376 · 9,064,548 · 10,071,720

Sums & aliquot sequence

As a sum of two squares: 456² + 894² = 624² + 786²

As consecutive integers: 335,723 + 335,724 + 335,725 125,893 + 125,894 + … + 125,900 111,904 + 111,905 + … + 111,912 41,954 + 41,955 + … + 41,977

Aliquot sequence: 1,007,172 → 1,573,224 → 2,359,896 → 5,001,384 → 7,502,136 → 11,253,264 → 20,461,968 → 36,803,526 → 36,803,538 → 51,739,182 → 73,690,578 → 98,254,650 → 164,166,054 → 190,295,130 → 267,711,270 → 381,426,618 → 448,013,382 — unresolved within range

Continued fraction of √n

√1,007,172 = [1003; (1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 11, 10, 3, 5, 2, 1, 1, 1, 2, 1, 5, 1, 86, 2, …)]

Representations

In words: one million seven thousand one hundred seventy-two
Ordinal: 1007172nd
Binary: 11110101111001000100
Octal: 3657104
Hexadecimal: 0xF5E44
Base64: D15E
One's complement: 4,293,960,123 (32-bit)
Scientific notation: 1.007172 × 10⁶
As a duration: 1,007,172 s = 11 days, 15 hours, 46 minutes, 12 seconds

In other bases

ternary (3) 1220011120200

quaternary (4) 3311321010

quinary (5) 224212142

senary (6) 33330500

septenary (7) 11363235

nonary (9) 1804520

undecimal (11) 628781

duodecimal (12) 406a30

tridecimal (13) 29357a

tetradecimal (14) 1c308c

pentadecimal (15) 14d64c

As an angle

1,007,172° = 2,797 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬七千一百七十二
Chinese (financial): 壹佰萬柒仟壹佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٧١٧٢ Devanagari १००७१७२ Bengali ১০০৭১৭২ Tamil ௧௦௦௭௧௭௨ Thai ๑๐๐๗๑๗๒ Tibetan ༡༠༠༧༡༧༢ Khmer ១០០៧១៧២ Lao ໑໐໐໗໑໗໒ Burmese ၁၀၀၇၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007172, here are decompositions:

11 + 1007161 = 1007172
43 + 1007129 = 1007172
53 + 1007119 = 1007172
73 + 1007099 = 1007172
83 + 1007089 = 1007172
113 + 1007059 = 1007172
149 + 1007023 = 1007172
151 + 1007021 = 1007172

Showing the first eight; more decompositions exist.

Hex color

#0F5E44

RGB(15, 94, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.68.

Address: 0.15.94.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.68

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 1,007,172 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 US1,007,172 on Google Patents ↗ Look up on USPTO ↗