Live analysis

1,013,272

1,013,272 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.).

1,013,272 (one million thirteen thousand two hundred seventy-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 9,743. Its proper divisors sum to 1,032,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7618.

Abundant Number Arithmetic Number Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,260 1,013,261 1,013,262 1,013,263 1,013,264 1,013,265 1,013,266 1,013,267 1,013,268 1,013,269 1,013,270 1,013,271 1,013,272 1,013,273 1,013,274 1,013,275 1,013,276 1,013,277 1,013,278 1,013,279 1,013,280 1,013,281 1,013,282 1,013,283 1,013,284

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 2,723,101
Square (n²): 1,026,720,145,984
Cube (n³): 1,040,346,775,761,499,648
Divisor count: 16
σ(n) — sum of divisors: 2,046,240
φ(n) — Euler's totient: 467,616
Sum of prime factors: 9,762

Primality

Prime factorization: 2 ³ × 13 × 9743

Nearest primes: 1,013,267 (−5) · 1,013,279 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 9743 · 19486 · 38972 · 77944 · 126659 · 253318 · 506636 (half) · 1013272

Aliquot sum (sum of proper divisors): 1,032,968

Factor pairs (a × b = 1,013,272)

1 × 1013272

2 × 506636

4 × 253318

8 × 126659

13 × 77944

26 × 38972

52 × 19486

104 × 9743

First multiples

1,013,272 · 2,026,544 (double) · 3,039,816 · 4,053,088 · 5,066,360 · 6,079,632 · 7,092,904 · 8,106,176 · 9,119,448 · 10,132,720

Sums & aliquot sequence

As consecutive integers: 77,938 + 77,939 + … + 77,950 63,322 + 63,323 + … + 63,337 4,768 + 4,769 + … + 4,975

Aliquot sequence: 1,013,272 → 1,032,968 → 903,862 → 477,674 → 238,840 → 376,040 → 660,760 → 826,040 → 1,059,640 → 1,370,360 → 1,713,040 → 3,375,920 → 4,889,920 → 9,008,960 → 12,936,640 → 17,869,496 → 15,695,704 — unresolved within range

Continued fraction of √n

√1,013,272 = [1006; (1, 1, 1, 1, 2, 4, 3, 7, 1, 1, 10, 118, 3, 35, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, …)]

Representations

In words: one million thirteen thousand two hundred seventy-two
Ordinal: 1013272nd
Binary: 11110111011000011000
Octal: 3673030
Hexadecimal: 0xF7618
Base64: D3YY
One's complement: 4,293,954,023 (32-bit)
Scientific notation: 1.013272 × 10⁶
As a duration: 1,013,272 s = 11 days, 17 hours, 27 minutes, 52 seconds

In other bases

ternary (3) 1220110221121

quaternary (4) 3313120120

quinary (5) 224411042

senary (6) 33415024

septenary (7) 11420101

nonary (9) 1813847

undecimal (11) 632317

duodecimal (12) 40a474

tridecimal (13) 296290

tetradecimal (14) 1c53a8

pentadecimal (15) 150367

As an angle

1,013,272° = 2,814 × 360° + 232°

232° ≈ 4.049 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千二百七十二
Chinese (financial): 壹佰零壹萬參仟貳佰柒拾貳

In other modern scripts

Eastern Arabic ١٠١٣٢٧٢ Devanagari १०१३२७२ Bengali ১০১৩২৭২ Tamil ௧௦௧௩௨௭௨ Thai ๑๐๑๓๒๗๒ Tibetan ༡༠༡༣༢༧༢ Khmer ១០១៣២៧២ Lao ໑໐໑໓໒໗໒ Burmese ၁၀၁၃၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013272, here are decompositions:

5 + 1013267 = 1013272
23 + 1013249 = 1013272
263 + 1013009 = 1013272
269 + 1013003 = 1013272
353 + 1012919 = 1013272
443 + 1012829 = 1013272
461 + 1012811 = 1013272
503 + 1012769 = 1013272

Showing the first eight; more decompositions exist.

Hex color

#0F7618

RGB(15, 118, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.24.

Address: 0.15.118.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.24

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3272 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3272-10-01 (MMDYYYY (US, single-digit day))
3272-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,272 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 US1,013,272 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1013272 first appears in π at position 187,382 of the decimal expansion (the 187,382ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1013272 on Pi Search ↗