Number

13,873

13,873 is a prime, odd.

13,873 (thirteen thousand eight hundred seventy-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3631.

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

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

13,861 13,862 13,863 13,864 13,865 13,866 13,867 13,868 13,869 13,870 13,871 13,872 13,873 13,874 13,875 13,876 13,877 13,878 13,879 13,880 13,881 13,882 13,883 13,884 13,885

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 22
Digit product: 504
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 37,831
Recamán's sequence: a(20,970) = 13,873
Square (n²): 192,460,129
Cube (n³): 2,669,999,369,617
Divisor count: 2
σ(n) — sum of divisors: 13,874
φ(n) — Euler's totient: 13,872

Primality

13,873 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13873

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,873)

1 × 13873

First multiples

13,873 · 27,746 (double) · 41,619 · 55,492 · 69,365 · 83,238 · 97,111 · 110,984 · 124,857 · 138,730

Sums & aliquot sequence

As a sum of two squares: 47² + 108²

As consecutive integers: 6,936 + 6,937

Continued fraction of √n

√13,873 = [117; (1, 3, 1, 1, 1, 1, 1, 8, 9, 1, 2, 3, 14, 2, 2, 1, 3, 1, 2, 1, 2, 1, 2, 9, …)]

Representations

In words: thirteen thousand eight hundred seventy-three
Ordinal: 13873rd
Binary: 11011000110001
Octal: 33061
Hexadecimal: 0x3631
Base64: NjE=
One's complement: 51,662 (16-bit)
Scientific notation: 1.3873 × 10⁴
As a duration: 13,873 s = 3 hours, 51 minutes, 13 seconds

In other bases

ternary (3) 201000211

quaternary (4) 3120301

quinary (5) 420443

senary (6) 144121

septenary (7) 55306

nonary (9) 21024

undecimal (11) a472

duodecimal (12) 8041

tridecimal (13) 6412

tetradecimal (14) 50ad

pentadecimal (15) 419d

As an angle

13,873° = 38 × 360° + 193°

193° ≈ 3.368 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ιγωογʹ
Mayan (base 20): 𝋡·𝋮·𝋭·𝋭
Chinese: 一萬三千八百七十三
Chinese (financial): 壹萬參仟捌佰柒拾參

In other modern scripts

Eastern Arabic ١٣٨٧٣ Devanagari १३८७३ Bengali ১৩৮৭৩ Tamil ௧௩௮௭௩ Thai ๑๓๘๗๓ Tibetan ༡༣༨༧༣ Khmer ១៣៨៧៣ Lao ໑໓໘໗໓ Burmese ၁၃၈၇၃

Digit at this position in famous constants

π — Pi (π): Digit 13,873 = 5
e — Euler's number (e): Digit 13,873 = 5
φ — Golden ratio (φ): Digit 13,873 = 8
√2 — Pythagoras's (√2): Digit 13,873 = 1
ln 2 — Natural log of 2: Digit 13,873 = 6
γ — Euler-Mascheroni (γ): Digit 13,873 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,859 (gap of 14)
Next prime: 13,877 (gap of 4)

Pair status: cousin with 13877.

Unicode codepoint

㘱

CJK Unified Ideograph-3631

U+3631

Other letter (Lo)

UTF-8 encoding: E3 98 B1 (3 bytes).

Lookup U+3631 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003631

RGB(0, 54, 49)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.49.

Address: 0.0.54.49
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.54.49

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

Musical pitch

Heard as a frequency, 13,873 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -26¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +12¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -24¢)

Position in π

The digit sequence 13873 first appears in π at position 269,987 of the decimal expansion (the 269,987ordinal-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 13873 on Pi Search ↗