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1,013,252

1,013,252 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.).

1,013,252 (one million thirteen thousand two hundred fifty-two) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 43² × 137. Written other ways, in hexadecimal, 0xF7604.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
2,523,101
Square (n²)
1,026,679,615,504
Cube (n³)
1,040,285,173,768,659,008
Divisor count
18
σ(n) — sum of divisors
1,828,638
φ(n) — Euler's totient
491,232
Sum of prime factors
227

Primality

Prime factorization: 2 2 × 43 2 × 137

Nearest primes: 1,013,249 (−3) · 1,013,263 (+11)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 43 · 86 · 137 · 172 · 274 · 548 · 1849 · 3698 · 5891 · 7396 · 11782 · 23564 · 253313 · 506626 (half) · 1013252
Aliquot sum (sum of proper divisors): 815,386
Factor pairs (a × b = 1,013,252)
1 × 1013252
2 × 506626
4 × 253313
43 × 23564
86 × 11782
137 × 7396
172 × 5891
274 × 3698
548 × 1849
First multiples
1,013,252 · 2,026,504 (double) · 3,039,756 · 4,053,008 · 5,066,260 · 6,079,512 · 7,092,764 · 8,106,016 · 9,119,268 · 10,132,520

Sums & aliquot sequence

As a sum of two squares: 344² + 946²
As consecutive integers: 126,653 + 126,654 + … + 126,660 23,543 + 23,544 + … + 23,585 7,328 + 7,329 + … + 7,464 2,774 + 2,775 + … + 3,117
Aliquot sequence: 1,013,252 815,386 622,022 360,178 305,102 278,578 161,342 80,674 59,006 30,538 15,272 14,968 13,112 13,888 18,624 31,160 44,440 — unresolved within range

Continued fraction of √n

√1,013,252 = [1006; (1, 1, 1, 1, 8, 1, 16, 45, 1, 2, 3, 1, 1, 17, 1, 9, 2, 16, 6, 5, 1, 4, 4, 3, …)]

Representations

In words
one million thirteen thousand two hundred fifty-two
Ordinal
1013252nd
Binary
11110111011000000100
Octal
3673004
Hexadecimal
0xF7604
Base64
D3YE
One's complement
4,293,954,043 (32-bit)
Scientific notation
1.013252 × 10⁶
As a duration
1,013,252 s = 11 days, 17 hours, 27 minutes, 32 seconds
In other bases
ternary (3) 1220110220212
quaternary (4) 3313120010
quinary (5) 224411002
senary (6) 33414552
septenary (7) 11420042
nonary (9) 1813825
undecimal (11) 6322a9
duodecimal (12) 40a458
tridecimal (13) 296276
tetradecimal (14) 1c5392
pentadecimal (15) 150352

As an angle

1,013,252° = 2,814 × 360° + 212°
212° ≈ 3.7 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零一萬三千二百五十二
Chinese (financial)
壹佰零壹萬參仟貳佰伍拾貳
In other modern scripts
Eastern Arabic ١٠١٣٢٥٢ Devanagari १०१३२५२ Bengali ১০১৩২৫২ Tamil ௧௦௧௩௨௫௨ Thai ๑๐๑๓๒๕๒ Tibetan ༡༠༡༣༢༥༢ Khmer ១០១៣២៥២ Lao ໑໐໑໓໒໕໒ Burmese ၁၀၁၃၂၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013252, here are decompositions:

  • 3 + 1013249 = 1013252
  • 13 + 1013239 = 1013252
  • 109 + 1013143 = 1013252
  • 199 + 1013053 = 1013252
  • 211 + 1013041 = 1013252
  • 223 + 1013029 = 1013252
  • 271 + 1012981 = 1013252
  • 349 + 1012903 = 1013252

Showing the first eight; more decompositions exist.

Hex color
#0F7604
RGB(15, 118, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.4.

Address
0.15.118.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.4

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3252 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3252-10-01 (MMDYYYY (US, single-digit day))
  • 3252-01-10 (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 1,013,252 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°.