number.wiki
Number

13,921

13,921 is a prime, odd.

13,921 (thirteen thousand nine hundred twenty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3661.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
54
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
12,931
Recamán's sequence
a(20,874) = 13,921
Square (n²)
193,794,241
Cube (n³)
2,697,809,628,961
Divisor count
2
σ(n) — sum of divisors
13,922
φ(n) — Euler's totient
13,920

Primality

13,921 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13921
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,921)
1 × 13921
First multiples
13,921 · 27,842 (double) · 41,763 · 55,684 · 69,605 · 83,526 · 97,447 · 111,368 · 125,289 · 139,210

Sums & aliquot sequence

As a sum of two squares: 40² + 111²
As consecutive integers: 6,960 + 6,961

Continued fraction of √n

√13,921 = [117; (1, 77, 1, 1, 1, 25, 1, 1, 4, 8, 1, 1, 13, 2, 1, 5, 4, 2, 4, 1, 1, 2, 1, 6, …)]

Representations

In words
thirteen thousand nine hundred twenty-one
Ordinal
13921st
Binary
11011001100001
Octal
33141
Hexadecimal
0x3661
Base64
NmE=
One's complement
51,614 (16-bit)
Scientific notation
1.3921 × 10⁴
As a duration
13,921 s = 3 hours, 52 minutes, 1 second
In other bases
ternary (3) 201002121
quaternary (4) 3121201
quinary (5) 421141
senary (6) 144241
septenary (7) 55405
nonary (9) 21077
undecimal (11) a506
duodecimal (12) 8081
tridecimal (13) 644b
tetradecimal (14) 5105
pentadecimal (15) 41d1

As an angle

13,921° = 38 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ιγϡκαʹ
Mayan (base 20)
𝋡·𝋮·𝋰·𝋡
Chinese
一萬三千九百二十一
Chinese (financial)
壹萬參仟玖佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٩٢١ Devanagari १३९२१ Bengali ১৩৯২১ Tamil ௧௩௯௨௧ Thai ๑๓๙๒๑ Tibetan ༡༣༩༢༡ Khmer ១៣៩២១ Lao ໑໓໙໒໑ Burmese ၁၃၉၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,921 = 6
e — Euler's number (e)
Digit 13,921 = 5
φ — Golden ratio (φ)
Digit 13,921 = 4
√2 — Pythagoras's (√2)
Digit 13,921 = 7
ln 2 — Natural log of 2
Digit 13,921 = 6
γ — Euler-Mascheroni (γ)
Digit 13,921 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,913 (gap of 8)
  • Next prime: 13,931 (gap of 10)
Unicode codepoint
CJK Unified Ideograph-3661
U+3661
Other letter (Lo)

UTF-8 encoding: E3 99 A1 (3 bytes).

Hex color
#003661
RGB(0, 54, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.97.

Address
0.0.54.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.97

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

Musical pitch

Heard as a frequency, 13,921 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -20¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +18¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -18¢)
Position in π

The digit sequence 13921 first appears in π at position 12,194 of the decimal expansion (the 12,194ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.