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1,013,512

1,013,512 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.).

1,013,512 (one million thirteen thousand five hundred twelve) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 151 × 839. Written other ways, in hexadecimal, 0xF7708.

Arithmetic Number Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
2,153,101
Square (n²)
1,027,206,574,144
Cube (n³)
1,041,086,189,373,833,728
Divisor count
16
σ(n) — sum of divisors
1,915,200
φ(n) — Euler's totient
502,800
Sum of prime factors
996

Primality

Prime factorization: 2 3 × 151 × 839

Nearest primes: 1,013,503 (−9) · 1,013,527 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 151 · 302 · 604 · 839 · 1208 · 1678 · 3356 · 6712 · 126689 · 253378 · 506756 (half) · 1013512
Aliquot sum (sum of proper divisors): 901,688
Factor pairs (a × b = 1,013,512)
1 × 1013512
2 × 506756
4 × 253378
8 × 126689
151 × 6712
302 × 3356
604 × 1678
839 × 1208
First multiples
1,013,512 · 2,027,024 (double) · 3,040,536 · 4,054,048 · 5,067,560 · 6,081,072 · 7,094,584 · 8,108,096 · 9,121,608 · 10,135,120

Sums & aliquot sequence

As consecutive integers: 63,337 + 63,338 + … + 63,352 6,637 + 6,638 + … + 6,787 789 + 790 + … + 1,627
Aliquot sequence: 1,013,512 901,688 799,312 749,386 531,062 395,758 251,882 125,944 166,376 190,264 187,736 176,104 154,106 85,114 42,560 79,360 117,056 — unresolved within range

Continued fraction of √n

√1,013,512 = [1006; (1, 2, 1, 2, 1, 2012)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one million thirteen thousand five hundred twelve
Ordinal
1013512th
Binary
11110111011100001000
Octal
3673410
Hexadecimal
0xF7708
Base64
D3cI
One's complement
4,293,953,783 (32-bit)
Scientific notation
1.013512 × 10⁶
As a duration
1,013,512 s = 11 days, 17 hours, 31 minutes, 52 seconds
In other bases
ternary (3) 1220111021111
quaternary (4) 3313130020
quinary (5) 224413022
senary (6) 33420104
septenary (7) 11420563
nonary (9) 1814244
undecimal (11) 632515
duodecimal (12) 40a634
tridecimal (13) 296416
tetradecimal (14) 1c54da
pentadecimal (15) 150477

As an angle

1,013,512° = 2,815 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Chinese
一百零一萬三千五百一十二
Chinese (financial)
壹佰零壹萬參仟伍佰壹拾貳
In other modern scripts
Eastern Arabic ١٠١٣٥١٢ Devanagari १०१३५१२ Bengali ১০১৩৫১২ Tamil ௧௦௧௩௫௧௨ Thai ๑๐๑๓๕๑๒ Tibetan ༡༠༡༣༥༡༢ Khmer ១០១៣៥១២ Lao ໑໐໑໓໕໑໒ Burmese ၁၀၁၃၅၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013512, here are decompositions:

  • 11 + 1013501 = 1013512
  • 41 + 1013471 = 1013512
  • 83 + 1013429 = 1013512
  • 113 + 1013399 = 1013512
  • 191 + 1013321 = 1013512
  • 233 + 1013279 = 1013512
  • 263 + 1013249 = 1013512
  • 359 + 1013153 = 1013512

Showing the first eight; more decompositions exist.

Hex color
#0F7708
RGB(15, 119, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.8.

Address
0.15.119.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.119.8

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3512 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3512-10-01 (MMDYYYY (US, single-digit day))
  • 3512-01-10 (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 1,013,512 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.