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Number

21,313

21,313 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
10
Digit product
18
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
31,312
Recamán's sequence
a(41,213) = 21,313
Square (n²)
454,243,969
Cube (n³)
9,681,301,711,297
Divisor count
2
σ(n) — sum of divisors
21,314
φ(n) — Euler's totient
21,312

Primality

21,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,313)
1 × 21313
First multiples
21,313 · 42,626 (double) · 63,939 · 85,252 · 106,565 · 127,878 · 149,191 · 170,504 · 191,817 · 213,130

Sums & aliquot sequence

As a sum of two squares: 72² + 127²
As consecutive integers: 10,656 + 10,657

Representations

In words
twenty-one thousand three hundred thirteen
Ordinal
21313th
Binary
101001101000001
Octal
51501
Hexadecimal
0x5341
Base64
U0E=
One's complement
44,222 (16-bit)
In other bases
ternary (3) 1002020101
quaternary (4) 11031001
quinary (5) 1140223
senary (6) 242401
septenary (7) 116065
nonary (9) 32211
undecimal (11) 15016
duodecimal (12) 10401
tridecimal (13) 9916
tetradecimal (14) 7aa5
pentadecimal (15) 64ad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵κατιγʹ
Mayan (base 20)
𝋢·𝋭·𝋥·𝋭
Chinese
二萬一千三百一十三
Chinese (financial)
貳萬壹仟參佰壹拾參
In other modern scripts
Eastern Arabic ٢١٣١٣ Devanagari २१३१३ Bengali ২১৩১৩ Tamil ௨௧௩௧௩ Thai ๒๑๓๑๓ Tibetan ༢༡༣༡༣ Khmer ២១៣១៣ Lao ໒໑໓໑໓ Burmese ၂၁၃၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 21,313 = 8
e — Euler's number (e)
Digit 21,313 = 3
φ — Golden ratio (φ)
Digit 21,313 = 3
√2 — Pythagoras's (√2)
Digit 21,313 = 1
ln 2 — Natural log of 2
Digit 21,313 = 9
γ — Euler-Mascheroni (γ)
Digit 21,313 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,283 (gap of 30)
  • Next prime: 21,317 (gap of 4)

Pair status: cousin with 21317.

Unicode codepoint
CJK Unified Ideograph-5341
U+5341
Other letter (Lo)

UTF-8 encoding: E5 8D 81 (3 bytes).

Hex color
#005341
RGB(0, 83, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.65.

Address
0.0.83.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.65

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

Position in π

The digit sequence 21313 first appears in π at position 14,955 of the decimal expansion (the 14,955ordinal-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.