Number

13,693

13,693 is a prime, odd.

13,693 (thirteen thousand six hundred ninety-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x357D.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

13,681 13,682 13,683 13,684 13,685 13,686 13,687 13,688 13,689 13,690 13,691 13,692 13,693 13,694 13,695 13,696 13,697 13,698 13,699 13,700 13,701 13,702 13,703 13,704 13,705

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 22
Digit product: 486
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 39,631
Recamán's sequence: a(91,258) = 13,693
Square (n²): 187,498,249
Cube (n³): 2,567,413,523,557
Divisor count: 2
σ(n) — sum of divisors: 13,694
φ(n) — Euler's totient: 13,692

Primality

13,693 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13693

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,693)

1 × 13693

First multiples

13,693 · 27,386 (double) · 41,079 · 54,772 · 68,465 · 82,158 · 95,851 · 109,544 · 123,237 · 136,930

Sums & aliquot sequence

As a sum of two squares: 2² + 117²

As consecutive integers: 6,846 + 6,847

Continued fraction of √n

√13,693 = [117; (58, 1, 1, 58, 234)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand six hundred ninety-three
Ordinal: 13693rd
Binary: 11010101111101
Octal: 32575
Hexadecimal: 0x357D
Base64: NX0=
One's complement: 51,842 (16-bit)
Scientific notation: 1.3693 × 10⁴
As a duration: 13,693 s = 3 hours, 48 minutes, 13 seconds

In other bases

ternary (3) 200210011

quaternary (4) 3111331

quinary (5) 414233

senary (6) 143221

septenary (7) 54631

nonary (9) 20704

undecimal (11) a319

duodecimal (12) 7b11

tridecimal (13) 6304

tetradecimal (14) 4dc1

pentadecimal (15) 40cd

As an angle

13,693° = 38 × 360° + 13°

13° ≈ 0.227 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ιγχϟγʹ
Mayan (base 20): 𝋡·𝋮·𝋤·𝋭
Chinese: 一萬三千六百九十三
Chinese (financial): 壹萬參仟陸佰玖拾參

In other modern scripts

Eastern Arabic ١٣٦٩٣ Devanagari १३६९३ Bengali ১৩৬৯৩ Tamil ௧௩௬௯௩ Thai ๑๓๖๙๓ Tibetan ༡༣༦༩༣ Khmer ១៣៦៩៣ Lao ໑໓໖໙໓ Burmese ၁၃၆၉၃

Digit at this position in famous constants

π — Pi (π): Digit 13,693 = 8
e — Euler's number (e): Digit 13,693 = 1
φ — Golden ratio (φ): Digit 13,693 = 0
√2 — Pythagoras's (√2): Digit 13,693 = 3
ln 2 — Natural log of 2: Digit 13,693 = 7
γ — Euler-Mascheroni (γ): Digit 13,693 = 5

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,691 (gap of 2)
Next prime: 13,697 (gap of 4)

Pair status: twin with 13691, cousin with 13697.

Unicode codepoint

㕽

CJK Unified Ideograph-357D

U+357D

Other letter (Lo)

UTF-8 encoding: E3 95 BD (3 bytes).

Lookup U+357D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00357D

RGB(0, 53, 125)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.125.

Address: 0.0.53.125
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.125

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

Musical pitch

Heard as a frequency, 13,693 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -48¢ — about midway to G♯9)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -11¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -47¢ — about midway to A9)

Position in π

The digit sequence 13693 first appears in π at position 21,566 of the decimal expansion (the 21,566ordinal-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 13693 on Pi Search ↗