Number

13,697

13,697 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Properties

Parity: Odd
Digit count: 5
Digit sum: 26
Digit product: 1,134
Digital root: 8
Palindrome: No
Bit width: 14 bits
Reversed: 79,631
Recamán's sequence: a(91,250) = 13,697
Square (n²): 187,607,809
Cube (n³): 2,569,664,159,873
Divisor count: 2
σ(n) — sum of divisors: 13,698
φ(n) — Euler's totient: 13,696

Primality

13,697 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13697

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,697)

1 × 13697

First multiples

13,697 · 27,394 (double) · 41,091 · 54,788 · 68,485 · 82,182 · 95,879 · 109,576 · 123,273 · 136,970

Sums & aliquot sequence

As a sum of two squares: 76² + 89²

As consecutive integers: 6,848 + 6,849

Representations

In words: thirteen thousand six hundred ninety-seven
Ordinal: 13697th
Binary: 11010110000001
Octal: 32601
Hexadecimal: 0x3581
Base64: NYE=
One's complement: 51,838 (16-bit)

In other bases

ternary (3) 200210022

quaternary (4) 3112001

quinary (5) 414242

senary (6) 143225

septenary (7) 54635

nonary (9) 20708

undecimal (11) a322

duodecimal (12) 7b15

tridecimal (13) 6308

tetradecimal (14) 4dc5

pentadecimal (15) 40d2

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγχϟζʹ
Mayan (base 20): 𝋡·𝋮·𝋤·𝋱
Chinese: 一萬三千六百九十七
Chinese (financial): 壹萬參仟陸佰玖拾柒

In other modern scripts

Eastern Arabic ١٣٦٩٧ Devanagari १३६९७ Bengali ১৩৬৯৭ Tamil ௧௩௬௯௭ Thai ๑๓๖๙๗ Tibetan ༡༣༦༩༧ Khmer ១៣៦៩៧ Lao ໑໓໖໙໗ Burmese ၁၃၆၉၇

Digit at this position in famous constants

π — Pi (π): Digit 13,697 = 7
e — Euler's number (e): Digit 13,697 = 5
φ — Golden ratio (φ): Digit 13,697 = 7
√2 — Pythagoras's (√2): Digit 13,697 = 5
ln 2 — Natural log of 2: Digit 13,697 = 2
γ — Euler-Mascheroni (γ): Digit 13,697 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,693 (gap of 4)
Next prime: 13,709 (gap of 12)

Pair status: cousin with 13693.

Unicode codepoint

㖁

CJK Unified Ideograph-3581

U+3581

Other letter (Lo)

UTF-8 encoding: E3 96 81 (3 bytes).

Lookup U+3581 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003581

RGB(0, 53, 129)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.129.

Address: 0.0.53.129
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.129

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

Position in π

The digit sequence 13697 first appears in π at position 69,458 of the decimal expansion (the 69,458ordinal-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 13697 on Pi Search ↗