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Number

21,713

21,713 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
42
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
31,712
Recamán's sequence
a(40,413) = 21,713
Square (n²)
471,454,369
Cube (n³)
10,236,688,714,097
Divisor count
2
σ(n) — sum of divisors
21,714
φ(n) — Euler's totient
21,712

Primality

21,713 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21713
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,713)
1 × 21713
First multiples
21,713 · 43,426 (double) · 65,139 · 86,852 · 108,565 · 130,278 · 151,991 · 173,704 · 195,417 · 217,130

Sums & aliquot sequence

As a sum of two squares: 73² + 128²
As consecutive integers: 10,856 + 10,857

Representations

In words
twenty-one thousand seven hundred thirteen
Ordinal
21713th
Binary
101010011010001
Octal
52321
Hexadecimal
0x54D1
Base64
VNE=
One's complement
43,822 (16-bit)
In other bases
ternary (3) 1002210012
quaternary (4) 11103101
quinary (5) 1143323
senary (6) 244305
septenary (7) 120206
nonary (9) 32705
undecimal (11) 1534a
duodecimal (12) 10695
tridecimal (13) 9b63
tetradecimal (14) 7cad
pentadecimal (15) 6678

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵καψιγʹ
Mayan (base 20)
𝋢·𝋮·𝋥·𝋭
Chinese
二萬一千七百一十三
Chinese (financial)
貳萬壹仟柒佰壹拾參
In other modern scripts
Eastern Arabic ٢١٧١٣ Devanagari २१७१३ Bengali ২১৭১৩ Tamil ௨௧௭௧௩ Thai ๒๑๗๑๓ Tibetan ༢༡༧༡༣ Khmer ២១៧១៣ Lao ໒໑໗໑໓ Burmese ၂၁၇၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 21,713 = 2
e — Euler's number (e)
Digit 21,713 = 2
φ — Golden ratio (φ)
Digit 21,713 = 6
√2 — Pythagoras's (√2)
Digit 21,713 = 7
ln 2 — Natural log of 2
Digit 21,713 = 9
γ — Euler-Mascheroni (γ)
Digit 21,713 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,701 (gap of 12)
  • Next prime: 21,727 (gap of 14)
Unicode codepoint
CJK Unified Ideograph-54D1
U+54D1
Other letter (Lo)

UTF-8 encoding: E5 93 91 (3 bytes).

Hex color
#0054D1
RGB(0, 84, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.84.209.

Address
0.0.84.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.84.209

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

Position in π

The digit sequence 21713 first appears in π at position 106,379 of the decimal expansion (the 106,379ordinal-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.