number.wiki
Number

13,921

13,921 is a prime, odd.

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

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

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)
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

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.

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.