Number

13,259

13,259 is a prime, odd.

13,259 (thirteen thousand two hundred fifty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x33CB.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Recamán's Sequence Self Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

13,247 13,248 13,249 13,250 13,251 13,252 13,253 13,254 13,255 13,256 13,257 13,258 13,259 13,260 13,261 13,262 13,263 13,264 13,265 13,266 13,267 13,268 13,269 13,270 13,271

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Properties

Parity: Odd
Digit count: 5
Digit sum: 20
Digit product: 270
Digital root: 2
Palindrome: No
Bit width: 14 bits
Reversed: 95,231
Recamán's sequence: a(47,757) = 13,259
Square (n²): 175,801,081
Cube (n³): 2,330,946,532,979
Divisor count: 2
σ(n) — sum of divisors: 13,260
φ(n) — Euler's totient: 13,258

Primality

13,259 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13259

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,259)

1 × 13259

First multiples

13,259 · 26,518 (double) · 39,777 · 53,036 · 66,295 · 79,554 · 92,813 · 106,072 · 119,331 · 132,590

Sums & aliquot sequence

As consecutive integers: 6,629 + 6,630

Continued fraction of √n

√13,259 = [115; (6, 1, 3, 3, 32, 1, 1, 2, 4, 1, 22, 4, 1, 1, 1, 9, 1, 4, 1, 2, 2, 5, 1, 1, …)]

Representations

In words: thirteen thousand two hundred fifty-nine
Ordinal: 13259th
Binary: 11001111001011
Octal: 31713
Hexadecimal: 0x33CB
Base64: M8s=
One's complement: 52,276 (16-bit)
Scientific notation: 1.3259 × 10⁴
As a duration: 13,259 s = 3 hours, 40 minutes, 59 seconds

In other bases

ternary (3) 200012002

quaternary (4) 3033023

quinary (5) 411014

senary (6) 141215

septenary (7) 53441

nonary (9) 20162

undecimal (11) 9a64

duodecimal (12) 780b

tridecimal (13) 605c

tetradecimal (14) 4b91

pentadecimal (15) 3dde

Palindromic in base 8

As an angle

13,259° = 36 × 360° + 299°

299° ≈ 5.219 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγσνθʹ
Mayan (base 20): 𝋡·𝋭·𝋢·𝋳
Chinese: 一萬三千二百五十九
Chinese (financial): 壹萬參仟貳佰伍拾玖

In other modern scripts

Eastern Arabic ١٣٢٥٩ Devanagari १३२५९ Bengali ১৩২৫৯ Tamil ௧௩௨௫௯ Thai ๑๓๒๕๙ Tibetan ༡༣༢༥༩ Khmer ១៣២៥៩ Lao ໑໓໒໕໙ Burmese ၁၃၂၅၉

Digit at this position in famous constants

π — Pi (π): Digit 13,259 = 3
e — Euler's number (e): Digit 13,259 = 4
φ — Golden ratio (φ): Digit 13,259 = 0
√2 — Pythagoras's (√2): Digit 13,259 = 5
ln 2 — Natural log of 2: Digit 13,259 = 3
γ — Euler-Mascheroni (γ): Digit 13,259 = 3

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,249 (gap of 10)
Next prime: 13,267 (gap of 8)

Unicode codepoint

㏋

Square Hp

U+33CB

Other symbol (So)

UTF-8 encoding: E3 8F 8B (3 bytes).

Lookup U+33CB on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0033CB

RGB(0, 51, 203)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.203.

Address: 0.0.51.203
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.203

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

Musical pitch

Heard as a frequency, 13,259 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -4¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +34¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -3¢)

Position in π

The digit sequence 13259 first appears in π at position 125,648 of the decimal expansion (the 125,648ordinal-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.

Look up 13259 on Pi Search ↗