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Number

51,431

51,431 is a prime, odd.

51,431 (fifty-one thousand four hundred thirty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xC8E7.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
60
Digital root
5
Palindrome
No
Bit width
16 bits
Reversed
13,415
Recamán's sequence
a(296,026) = 51,431
Square (n²)
2,645,147,761
Cube (n³)
136,042,594,495,991
Divisor count
2
σ(n) — sum of divisors
51,432
φ(n) — Euler's totient
51,430

Primality

51,431 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 51431
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 51,431)
1 × 51431
First multiples
51,431 · 102,862 (double) · 154,293 · 205,724 · 257,155 · 308,586 · 360,017 · 411,448 · 462,879 · 514,310

Sums & aliquot sequence

As consecutive integers: 25,715 + 25,716

Continued fraction of √n

√51,431 = [226; (1, 3, 1, 1, 1, 2, 2, 2, 31, 1, 63, 1, 4, 1, 3, 8, 1, 225, 1, 8, 3, 1, 4, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
fifty-one thousand four hundred thirty-one
Ordinal
51431st
Binary
1100100011100111
Octal
144347
Hexadecimal
0xC8E7
Base64
yOc=
One's complement
14,104 (16-bit)
Scientific notation
5.1431 × 10⁴
As a duration
51,431 s = 14 hours, 17 minutes, 11 seconds
In other bases
ternary (3) 2121112212
quaternary (4) 30203213
quinary (5) 3121211
senary (6) 1034035
septenary (7) 302642
nonary (9) 77485
undecimal (11) 35706
duodecimal (12) 2591b
tridecimal (13) 1a543
tetradecimal (14) 14a59
pentadecimal (15) 1038b

As an angle

51,431° = 142 × 360° + 311°
311° ≈ 5.428 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ναυλαʹ
Mayan (base 20)
𝋦·𝋨·𝋫·𝋫
Chinese
五萬一千四百三十一
Chinese (financial)
伍萬壹仟肆佰參拾壹
In other modern scripts
Eastern Arabic ٥١٤٣١ Devanagari ५१४३१ Bengali ৫১৪৩১ Tamil ௫௧௪௩௧ Thai ๕๑๔๓๑ Tibetan ༥༡༤༣༡ Khmer ៥១៤៣១ Lao ໕໑໔໓໑ Burmese ၅၁၄၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 51,431 = 9
e — Euler's number (e)
Digit 51,431 = 8
φ — Golden ratio (φ)
Digit 51,431 = 5
√2 — Pythagoras's (√2)
Digit 51,431 = 1
ln 2 — Natural log of 2
Digit 51,431 = 1
γ — Euler-Mascheroni (γ)
Digit 51,431 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 51,427 (gap of 4)
  • Next prime: 51,437 (gap of 6)

Pair status: cousin with 51427, sexy with 51437.

Unicode codepoint
Hangul Syllable Jyod
U+C8E7
Other letter (Lo)

UTF-8 encoding: EC A3 A7 (3 bytes).

Hex color
#00C8E7
RGB(0, 200, 231)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.200.231.

Address
0.0.200.231
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.200.231

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

Position in π

The digit sequence 51431 first appears in π at position 2,117 of the decimal expansion (the 2,117ordinal-suffix:th 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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.