31,013
31,013 is a prime, odd.
31,013 (thirty-one thousand thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x7925.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 5
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- Yes
- Bit width
- 15 bits
- Recamán's sequence
- a(31,637) = 31,013
- Square (n²)
- 961,806,169
- Cube (n³)
- 29,828,494,719,197
- Divisor count
- 2
- σ(n) — sum of divisors
- 31,014
- φ(n) — Euler's totient
- 31,012
Primality
31,013 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√31,013 = [176; (9, 1, 1, 14, 1, 3, 1, 2, 3, 7, 1, 2, 2, 2, 2, 1, 7, 3, 2, 1, 3, 1, 14, 1, …)]
Period length 27 — the block in parentheses repeats forever.
Representations
- In words
- thirty-one thousand thirteen
- Ordinal
- 31013th
- Binary
- 111100100100101
- Octal
- 74445
- Hexadecimal
- 0x7925
- Base64
- eSU=
- One's complement
- 34,522 (16-bit)
- Scientific notation
- 3.1013 × 10⁴
- As a duration
- 31,013 s = 8 hours, 36 minutes, 53 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓆼𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵λαιγʹ
- Mayan (base 20)
- 𝋣·𝋱·𝋪·𝋭
- Chinese
- 三萬一千零一十三
- Chinese (financial)
- 參萬壹仟零壹拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 31,013 = 6
- e — Euler's number (e)
- Digit 31,013 = 6
- φ — Golden ratio (φ)
- Digit 31,013 = 0
- √2 — Pythagoras's (√2)
- Digit 31,013 = 5
- ln 2 — Natural log of 2
- Digit 31,013 = 9
- γ — Euler-Mascheroni (γ)
- Digit 31,013 = 1
Also seen as
UTF-8 encoding: E7 A4 A5 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.121.37.
- Address
- 0.0.121.37
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.121.37
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 31013 first appears in π at position 17,381 of the decimal expansion (the 17,381ordinal-suffix:st 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.