Number

13,297

13,297 is a prime, odd.

Arithmetic Number Deficient Number Emirp Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Properties

Parity: Odd
Digit count: 5
Digit sum: 22
Digit product: 378
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 79,231
Recamán's sequence: a(47,681) = 13,297
Square (n²): 176,810,209
Cube (n³): 2,351,045,349,073
Divisor count: 2
σ(n) — sum of divisors: 13,298
φ(n) — Euler's totient: 13,296

Primality

13,297 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13297

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,297)

1 × 13297

First multiples

13,297 · 26,594 (double) · 39,891 · 53,188 · 66,485 · 79,782 · 93,079 · 106,376 · 119,673 · 132,970

Sums & aliquot sequence

As a sum of two squares: 79² + 84²

As consecutive integers: 6,648 + 6,649

Representations

In words: thirteen thousand two hundred ninety-seven
Ordinal: 13297th
Binary: 11001111110001
Octal: 31761
Hexadecimal: 0x33F1
Base64: M/E=
One's complement: 52,238 (16-bit)

In other bases

ternary (3) 200020111

quaternary (4) 3033301

quinary (5) 411142

senary (6) 141321

septenary (7) 53524

nonary (9) 20214

undecimal (11) 9a99

duodecimal (12) 7841

tridecimal (13) 608b

tetradecimal (14) 4bbb

pentadecimal (15) 3e17

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγσϟζʹ
Mayan (base 20): 𝋡·𝋭·𝋤·𝋱
Chinese: 一萬三千二百九十七
Chinese (financial): 壹萬參仟貳佰玖拾柒

In other modern scripts

Eastern Arabic ١٣٢٩٧ Devanagari १३२९७ Bengali ১৩২৯৭ Tamil ௧௩௨௯௭ Thai ๑๓๒๙๗ Tibetan ༡༣༢༩༧ Khmer ១៣២៩៧ Lao ໑໓໒໙໗ Burmese ၁၃၂၉၇

Digit at this position in famous constants

π — Pi (π): Digit 13,297 = 7
e — Euler's number (e): Digit 13,297 = 7
φ — Golden ratio (φ): Digit 13,297 = 9
√2 — Pythagoras's (√2): Digit 13,297 = 2
ln 2 — Natural log of 2: Digit 13,297 = 4
γ — Euler-Mascheroni (γ): Digit 13,297 = 3

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,291 (gap of 6)
Next prime: 13,309 (gap of 12)

Pair status: sexy with 13291.

Unicode codepoint

㏱

Ideographic Telegraph Symbol For Day Eighteen

U+33F1

Other symbol (So)

UTF-8 encoding: E3 8F B1 (3 bytes).

Lookup U+33F1 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0033F1

RGB(0, 51, 241)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.241.

Address: 0.0.51.241
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.241

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

Position in π

The digit sequence 13297 first appears in π at position 58,062 of the decimal expansion (the 58,062ordinal-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 13297 on Pi Search ↗