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Number

5,231

5,231 is a prime, odd.

5,231 (five thousand two hundred thirty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x146F.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

10 notable facts · grade A
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Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
30
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
1,325
Recamán's sequence
a(4,674) = 5,231
Square (n²)
27,363,361
Cube (n³)
143,137,741,391
Divisor count
2
σ(n) — sum of divisors
5,232
φ(n) — Euler's totient
5,230

Primality

5,231 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5231
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,231)
1 × 5231
First multiples
5,231 · 10,462 (double) · 15,693 · 20,924 · 26,155 · 31,386 · 36,617 · 41,848 · 47,079 · 52,310

Sums & aliquot sequence

As consecutive integers: 2,615 + 2,616

Continued fraction of √n

√5,231 = [72; (3, 14, 7, 1, 1, 5, 3, 1, 19, 1, 9, 2, 1, 1, 1, 2, 3, 1, 3, 28, 1, 1, 1, 71, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
five thousand two hundred thirty-one
Ordinal
5231st
Binary
1010001101111
Octal
12157
Hexadecimal
0x146F
Base64
FG8=
One's complement
60,304 (16-bit)
Scientific notation
5.231 × 10³
As a duration
5,231 s = 1 hour, 27 minutes, 11 seconds
In other bases
ternary (3) 21011202
quaternary (4) 1101233
quinary (5) 131411
senary (6) 40115
septenary (7) 21152
nonary (9) 7152
undecimal (11) 3a26
duodecimal (12) 303b
tridecimal (13) 24c5
tetradecimal (14) 1c99
pentadecimal (15) 183b

As an angle

5,231° = 14 × 360° + 191°
191° ≈ 3.334 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵εσλαʹ
Mayan (base 20)
𝋭·𝋡·𝋫
Chinese
五千二百三十一
Chinese (financial)
伍仟貳佰參拾壹
In other modern scripts
Eastern Arabic ٥٢٣١ Devanagari ५२३१ Bengali ৫২৩১ Tamil ௫௨௩௧ Thai ๕๒๓๑ Tibetan ༥༢༣༡ Khmer ៥២៣១ Lao ໕໒໓໑ Burmese ၅၂၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 5,231 = 7
e — Euler's number (e)
Digit 5,231 = 5
φ — Golden ratio (φ)
Digit 5,231 = 3
√2 — Pythagoras's (√2)
Digit 5,231 = 6
ln 2 — Natural log of 2
Digit 5,231 = 6
γ — Euler-Mascheroni (γ)
Digit 5,231 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,227 (gap of 4)
  • Next prime: 5,233 (gap of 2)

Pair status: twin with 5233, cousin with 5227.

Unicode codepoint
Canadian Syllabics Ko
U+146F
Other letter (Lo)

UTF-8 encoding: E1 91 AF (3 bytes).

Hex color
#00146F
RGB(0, 20, 111)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.111.

Address
0.0.20.111
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.111

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

Musical pitch

Heard as a frequency, 5,231 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, -14¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, +23¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, -13¢)
Position in π

The digit sequence 5231 first appears in π at position 2,737 of the decimal expansion (the 2,737ordinal-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.