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531,331

531,331 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.).

531,331 (five hundred thirty-one thousand three hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x81B83.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
135
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
133,135
Square (n²)
282,312,631,561
Cube (n³)
150,001,452,839,937,691
Divisor count
2
σ(n) — sum of divisors
531,332
φ(n) — Euler's totient
531,330

Primality

531,331 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 531331
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 531,331)
1 × 531331
First multiples
531,331 · 1,062,662 (double) · 1,593,993 · 2,125,324 · 2,656,655 · 3,187,986 · 3,719,317 · 4,250,648 · 4,781,979 · 5,313,310

Sums & aliquot sequence

As consecutive integers: 265,665 + 265,666

Continued fraction of √n

√531,331 = [728; (1, 12, 3, 1, 15, 2, 3, 1, 13, 1, 18, 1, 1, 43, 1, 1, 1, 47, 1, 13, 2, 5, 53, 1, …)]

Representations

In words
five hundred thirty-one thousand three hundred thirty-one
Ordinal
531331st
Binary
10000001101110000011
Octal
2015603
Hexadecimal
0x81B83
Base64
CBuD
One's complement
4,294,435,964 (32-bit)
Scientific notation
5.31331 × 10⁵
As a duration
531,331 s = 6 days, 3 hours, 35 minutes, 31 seconds
In other bases
ternary (3) 222222211221
quaternary (4) 2001232003
quinary (5) 114000311
senary (6) 15215511
septenary (7) 4342033
nonary (9) 888757
undecimal (11) 333219
duodecimal (12) 217597
tridecimal (13) 157ac8
tetradecimal (14) db8c3
pentadecimal (15) a7671

As an angle

531,331° = 1,475 × 360° + 331°
331° ≈ 5.777 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵φλατλαʹ
Chinese
五十三萬一千三百三十一
Chinese (financial)
伍拾參萬壹仟參佰參拾壹
In other modern scripts
Eastern Arabic ٥٣١٣٣١ Devanagari ५३१३३१ Bengali ৫৩১৩৩১ Tamil ௫௩௧௩௩௧ Thai ๕๓๑๓๓๑ Tibetan ༥༣༡༣༣༡ Khmer ៥៣១៣៣១ Lao ໕໓໑໓໓໑ Burmese ၅၃၁၃၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 531337.

Hex color
#081B83
RGB(8, 27, 131)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.27.131.

Address
0.8.27.131
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.27.131

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

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 531,331 and was likely granted around 1894.

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

Position in π

The digit sequence 531331 first appears in π at position 732,149 of the decimal expansion (the 732,149ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.