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Number

15,313

15,313 is a prime, odd.

15,313 (fifteen thousand three hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3BD1.

Arithmetic Number Balanced Prime Centered Square Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
45
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
31,351
Recamán's sequence
a(5,286) = 15,313
Square (n²)
234,487,969
Cube (n³)
3,590,714,269,297
Divisor count
2
σ(n) — sum of divisors
15,314
φ(n) — Euler's totient
15,312

Primality

15,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 15313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 15,313)
1 × 15313
First multiples
15,313 · 30,626 (double) · 45,939 · 61,252 · 76,565 · 91,878 · 107,191 · 122,504 · 137,817 · 153,130

Sums & aliquot sequence

As a sum of two squares: 87² + 88²
As consecutive integers: 7,656 + 7,657

Continued fraction of √n

√15,313 = [123; (1, 2, 1, 13, 1, 4, 4, 2, 7, 18, 1, 9, 2, 1, 2, 1, 10, 30, 1, 5, 2, 1, 1, 1, …)]

Representations

In words
fifteen thousand three hundred thirteen
Ordinal
15313th
Binary
11101111010001
Octal
35721
Hexadecimal
0x3BD1
Base64
O9E=
One's complement
50,222 (16-bit)
Scientific notation
1.5313 × 10⁴
As a duration
15,313 s = 4 hours, 15 minutes, 13 seconds
In other bases
ternary (3) 210000011
quaternary (4) 3233101
quinary (5) 442223
senary (6) 154521
septenary (7) 62434
nonary (9) 23004
undecimal (11) 10561
duodecimal (12) 8a41
tridecimal (13) 6c7c
tetradecimal (14) 581b
pentadecimal (15) 480d

As an angle

15,313° = 42 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιετιγʹ
Mayan (base 20)
𝋡·𝋲·𝋥·𝋭
Chinese
一萬五千三百一十三
Chinese (financial)
壹萬伍仟參佰壹拾參
In other modern scripts
Eastern Arabic ١٥٣١٣ Devanagari १५३१३ Bengali ১৫৩১৩ Tamil ௧௫௩௧௩ Thai ๑๕๓๑๓ Tibetan ༡༥༣༡༣ Khmer ១៥៣១៣ Lao ໑໕໓໑໓ Burmese ၁၅၃၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 15,313 = 3
e — Euler's number (e)
Digit 15,313 = 5
φ — Golden ratio (φ)
Digit 15,313 = 5
√2 — Pythagoras's (√2)
Digit 15,313 = 3
ln 2 — Natural log of 2
Digit 15,313 = 9
γ — Euler-Mascheroni (γ)
Digit 15,313 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 15,307 (gap of 6)
  • Next prime: 15,319 (gap of 6)

Pair status: sexy with 15307, sexy with 15319.

Unicode codepoint
CJK Unified Ideograph-3Bd1
U+3BD1
Other letter (Lo)

UTF-8 encoding: E3 AF 91 (3 bytes).

Hex color
#003BD1
RGB(0, 59, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.59.209.

Address
0.0.59.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.59.209

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

Musical pitch

Heard as a frequency, 15,313 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, +45¢ — about midway to B9)
  • Scientific pitch (C4 = 256 Hz): B9 (15464.4 Hz, -17¢)
  • Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, +47¢ — about midway to C10)
Position in π

The digit sequence 15313 first appears in π at position 60,515 of the decimal expansion (the 60,515ordinal-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.