Number

13,159

13,159 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Emirp Odious Number Prime Recamán's Sequence Squarefree

Properties

Parity: Odd
Digit count: 5
Digit sum: 19
Digit product: 135
Digital root: 1
Palindrome: No
Bit width: 14 bits
Reversed: 95,131
Recamán's sequence: a(47,957) = 13,159
Square (n²): 173,159,281
Cube (n³): 2,278,602,978,679
Divisor count: 2
σ(n) — sum of divisors: 13,160
φ(n) — Euler's totient: 13,158

Primality

13,159 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13159

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,159)

1 × 13159

First multiples

13,159 · 26,318 (double) · 39,477 · 52,636 · 65,795 · 78,954 · 92,113 · 105,272 · 118,431 · 131,590

Sums & aliquot sequence

As consecutive integers: 6,579 + 6,580

Representations

In words: thirteen thousand one hundred fifty-nine
Ordinal: 13159th
Binary: 11001101100111
Octal: 31547
Hexadecimal: 0x3367
Base64: M2c=
One's complement: 52,376 (16-bit)

In other bases

ternary (3) 200001101

quaternary (4) 3031213

quinary (5) 410114

senary (6) 140531

septenary (7) 53236

nonary (9) 20041

undecimal (11) 9983

duodecimal (12) 7747

tridecimal (13) 5cb3

tetradecimal (14) 4b1d

pentadecimal (15) 3d74

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγρνθʹ
Mayan (base 20): 𝋡·𝋬·𝋱·𝋳
Chinese: 一萬三千一百五十九
Chinese (financial): 壹萬參仟壹佰伍拾玖

In other modern scripts

Eastern Arabic ١٣١٥٩ Devanagari १३१५९ Bengali ১৩১৫৯ Tamil ௧௩௧௫௯ Thai ๑๓๑๕๙ Tibetan ༡༣༡༥༩ Khmer ១៣១៥៩ Lao ໑໓໑໕໙ Burmese ၁၃၁၅၉

Digit at this position in famous constants

π — Pi (π): Digit 13,159 = 4
e — Euler's number (e): Digit 13,159 = 4
φ — Golden ratio (φ): Digit 13,159 = 9
√2 — Pythagoras's (√2): Digit 13,159 = 0
ln 2 — Natural log of 2: Digit 13,159 = 0
γ — Euler-Mascheroni (γ): Digit 13,159 = 3

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,151 (gap of 8)
Next prime: 13,163 (gap of 4)

Pair status: cousin with 13163.

Unicode codepoint

㍧

Ideographic Telegraph Symbol For Hour Fifteen

U+3367

Other symbol (So)

UTF-8 encoding: E3 8D A7 (3 bytes).

Lookup U+3367 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003367

RGB(0, 51, 103)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.103.

Address: 0.0.51.103
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.103

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

Position in π

The digit sequence 13159 first appears in π at position 62,542 of the decimal expansion (the 62,542ordinal-suffix:nd 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.

Look up 13159 on Pi Search ↗