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Number

21,317

21,317 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
42
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
71,312
Recamán's sequence
a(41,205) = 21,317
Square (n²)
454,414,489
Cube (n³)
9,686,753,662,013
Divisor count
2
σ(n) — sum of divisors
21,318
φ(n) — Euler's totient
21,316

Primality

21,317 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21317
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,317)
1 × 21317
First multiples
21,317 · 42,634 (double) · 63,951 · 85,268 · 106,585 · 127,902 · 149,219 · 170,536 · 191,853 · 213,170

Sums & aliquot sequence

As a sum of two squares: 1² + 146²
As consecutive integers: 10,658 + 10,659

Representations

In words
twenty-one thousand three hundred seventeen
Ordinal
21317th
Binary
101001101000101
Octal
51505
Hexadecimal
0x5345
Base64
U0U=
One's complement
44,218 (16-bit)
In other bases
ternary (3) 1002020112
quaternary (4) 11031011
quinary (5) 1140232
senary (6) 242405
septenary (7) 116102
nonary (9) 32215
undecimal (11) 1501a
duodecimal (12) 10405
tridecimal (13) 991a
tetradecimal (14) 7aa9
pentadecimal (15) 64b2

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κατιζʹ
Mayan (base 20)
𝋢·𝋭·𝋥·𝋱
Chinese
二萬一千三百一十七
Chinese (financial)
貳萬壹仟參佰壹拾柒
In other modern scripts
Eastern Arabic ٢١٣١٧ Devanagari २१३१७ Bengali ২১৩১৭ Tamil ௨௧௩௧௭ Thai ๒๑๓๑๗ Tibetan ༢༡༣༡༧ Khmer ២១៣១៧ Lao ໒໑໓໑໗ Burmese ၂၁၃၁၇

Digit at this position in famous constants

π — Pi (π)
Digit 21,317 = 3
e — Euler's number (e)
Digit 21,317 = 1
φ — Golden ratio (φ)
Digit 21,317 = 4
√2 — Pythagoras's (√2)
Digit 21,317 = 7
ln 2 — Natural log of 2
Digit 21,317 = 0
γ — Euler-Mascheroni (γ)
Digit 21,317 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,313 (gap of 4)
  • Next prime: 21,319 (gap of 2)

Pair status: twin with 21319, cousin with 21313.

Unicode codepoint
CJK Unified Ideograph-5345
U+5345
Other letter (Lo)

UTF-8 encoding: E5 8D 85 (3 bytes).

Hex color
#005345
RGB(0, 83, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.69.

Address
0.0.83.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.69

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

Position in π

The digit sequence 21317 first appears in π at position 4,565 of the decimal expansion (the 4,565ordinal-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.