Live analysis

1,013,872

1,013,872 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.).

1,013,872 (one million thirteen thousand eight hundred seventy-two) is an even 7-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 63,367. Written other ways, in hexadecimal, 0xF7870.

Deficient Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

0 notable facts · grade F

1,013,860 1,013,861 1,013,862 1,013,863 1,013,864 1,013,865 1,013,866 1,013,867 1,013,868 1,013,869 1,013,870 1,013,871 1,013,872 1,013,873 1,013,874 1,013,875 1,013,876 1,013,877 1,013,878 1,013,879 1,013,880 1,013,881 1,013,882 1,013,883 1,013,884

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Properties

Parity: Even
Digit count: 7
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 2,783,101
Square (n²): 1,027,936,432,384
Cube (n³): 1,042,195,966,574,030,848
Divisor count: 10
σ(n) — sum of divisors: 1,964,408
φ(n) — Euler's totient: 506,928
Sum of prime factors: 63,375

Primality

Prime factorization: 2 ⁴ × 63367

Nearest primes: 1,013,851 (−21) · 1,013,879 (+7)

Divisors & multiples

All divisors (10)

1 · 2 · 4 · 8 · 16 · 63367 · 126734 · 253468 · 506936 (half) · 1013872

Aliquot sum (sum of proper divisors): 950,536

Factor pairs (a × b = 1,013,872)

1 × 1013872

2 × 506936

4 × 253468

8 × 126734

16 × 63367

First multiples

1,013,872 · 2,027,744 (double) · 3,041,616 · 4,055,488 · 5,069,360 · 6,083,232 · 7,097,104 · 8,110,976 · 9,124,848 · 10,138,720

Sums & aliquot sequence

As consecutive integers: 31,668 + 31,669 + … + 31,699

Aliquot sequence: 1,013,872 → 950,536 → 847,304 → 741,406 → 432,338 → 222,250 → 256,982 → 163,570 → 157,838 → 78,922 → 39,464 → 34,546 → 19,598 → 10,642 → 6,314 → 5,782 → 4,478 — unresolved within range

Continued fraction of √n

√1,013,872 = [1006; (1, 10, 2, 1, 1, 1, 4, 1, 1, 9, 1, 7, 1, 2, 1, 4, 2, 1, 1, 1, 1, 1, 3, 1, …)]

Representations

In words: one million thirteen thousand eight hundred seventy-two
Ordinal: 1013872nd
Binary: 11110111100001110000
Octal: 3674160
Hexadecimal: 0xF7870
Base64: D3hw
One's complement: 4,293,953,423 (32-bit)
Scientific notation: 1.013872 × 10⁶
As a duration: 1,013,872 s = 11 days, 17 hours, 37 minutes, 52 seconds

In other bases

ternary (3) 1220111202211

quaternary (4) 3313201300

quinary (5) 224420442

senary (6) 33421504

septenary (7) 11421616

nonary (9) 1814684

undecimal (11) 632812

duodecimal (12) 40a894

tridecimal (13) 296632

tetradecimal (14) 1c56b6

pentadecimal (15) 150617

As an angle

1,013,872° = 2,816 × 360° + 112°

112° ≈ 1.955 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千八百七十二
Chinese (financial): 壹佰零壹萬參仟捌佰柒拾貳

In other modern scripts

Eastern Arabic ١٠١٣٨٧٢ Devanagari १०१३८७२ Bengali ১০১৩৮৭২ Tamil ௧௦௧௩௮௭௨ Thai ๑๐๑๓๘๗๒ Tibetan ༡༠༡༣༨༧༢ Khmer ១០១៣៨៧២ Lao ໑໐໑໓໘໗໒ Burmese ၁၀၁၃၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013872, here are decompositions:

29 + 1013843 = 1013872
53 + 1013819 = 1013872
59 + 1013813 = 1013872
131 + 1013741 = 1013872
173 + 1013699 = 1013872
191 + 1013681 = 1013872
263 + 1013609 = 1013872
269 + 1013603 = 1013872

Showing the first eight; more decompositions exist.

Hex color

#0F7870

RGB(15, 120, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.112.

Address: 0.15.120.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3872 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3872-10-01 (MMDYYYY (US, single-digit day))
3872-01-10 (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 1,013,872 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 US1,013,872 on Google Patents ↗ Look up on USPTO ↗