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1,013,431

1,013,431 is a prime, odd.

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.).

1,013,431 (one million thirteen thousand four hundred thirty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF76B7.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
1,343,101
Square (n²)
1,027,042,391,761
Cube (n³)
1,040,836,598,124,741,991
Divisor count
2
σ(n) — sum of divisors
1,013,432
φ(n) — Euler's totient
1,013,430

Primality

1,013,431 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013431
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,431)
1 × 1013431
First multiples
1,013,431 · 2,026,862 (double) · 3,040,293 · 4,053,724 · 5,067,155 · 6,080,586 · 7,094,017 · 8,107,448 · 9,120,879 · 10,134,310

Sums & aliquot sequence

As consecutive integers: 506,715 + 506,716

Continued fraction of √n

√1,013,431 = [1006; (1, 2, 3, 1, 6, 1, 2, 4, 1, 14, 1, 2, 13, 1, 2, 1, 4, 1, 105, 7, 18, 6, 4, 1, …)]

Representations

In words
one million thirteen thousand four hundred thirty-one
Ordinal
1013431st
Binary
11110111011010110111
Octal
3673267
Hexadecimal
0xF76B7
Base64
D3a3
One's complement
4,293,953,864 (32-bit)
Scientific notation
1.013431 × 10⁶
As a duration
1,013,431 s = 11 days, 17 hours, 30 minutes, 31 seconds
In other bases
ternary (3) 1220111011111
quaternary (4) 3313122313
quinary (5) 224412211
senary (6) 33415451
septenary (7) 11420416
nonary (9) 1814144
undecimal (11) 632451
duodecimal (12) 40a587
tridecimal (13) 296383
tetradecimal (14) 1c547d
pentadecimal (15) 150421

As an angle

1,013,431° = 2,815 × 360° + 31°
31° ≈ 0.541 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Chinese
一百零一萬三千四百三十一
Chinese (financial)
壹佰零壹萬參仟肆佰參拾壹
In other modern scripts
Eastern Arabic ١٠١٣٤٣١ Devanagari १०१३४३१ Bengali ১০১৩৪৩১ Tamil ௧௦௧௩௪௩௧ Thai ๑๐๑๓๔๓๑ Tibetan ༡༠༡༣༤༣༡ Khmer ១០១៣៤៣១ Lao ໑໐໑໓໔໓໑ Burmese ၁၀၁၃၄၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1013429.

Hex color
#0F76B7
RGB(15, 118, 183)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.183.

Address
0.15.118.183
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.183

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3431 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3431-10-01 (MMDYYYY (US, single-digit day))
  • 3431-01-10 (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 1,013,431 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.