21,713
21,713 is a prime, odd.
21,713 (twenty-one thousand seven hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x54D1.
Interestingness
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
Sums & aliquot sequence
Continued fraction of √n
√21,713 = [147; (2, 1, 4, 1, 8, 2, 1, 1, 2, 3, 1, 3, 3, 1, 3, 2, 1, 1, 2, 8, 1, 4, 1, 2, …)]
Period length 25 — the block in parentheses repeats forever.
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)
- Scientific notation
- 2.1713 × 10⁴
- As a duration
- 21,713 s = 6 hours, 1 minute, 53 seconds
As an angle
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
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
UTF-8 encoding: E5 93 91 (3 bytes).
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.
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.
Related reading
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.