7,013
7,013 is a prime, odd.
7,013 (seven thousand thirteen) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B65.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 4
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 3,107
- Recamán's sequence
- a(176,985) = 7,013
- Square (n²)
- 49,182,169
- Cube (n³)
- 344,914,551,197
- Divisor count
- 2
- σ(n) — sum of divisors
- 7,014
- φ(n) — Euler's totient
- 7,012
Primality
7,013 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√7,013 = [83; (1, 2, 1, 9, 9, 1, 2, 1, 166)]
Period length 9 — the block in parentheses repeats forever.
Representations
- In words
- seven thousand thirteen
- Ordinal
- 7013th
- Binary
- 1101101100101
- Octal
- 15545
- Hexadecimal
- 0x1B65
- Base64
- G2U=
- One's complement
- 58,522 (16-bit)
- Scientific notation
- 7.013 × 10³
- As a duration
- 7,013 s = 1 hour, 56 minutes, 53 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ζιγʹ
- Mayan (base 20)
- 𝋱·𝋪·𝋭
- Chinese
- 七千零一十三
- Chinese (financial)
- 柒仟零壹拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 7,013 = 1
- e — Euler's number (e)
- Digit 7,013 = 8
- φ — Golden ratio (φ)
- Digit 7,013 = 0
- √2 — Pythagoras's (√2)
- Digit 7,013 = 8
- ln 2 — Natural log of 2
- Digit 7,013 = 8
- γ — Euler-Mascheroni (γ)
- Digit 7,013 = 0
Also seen as
UTF-8 encoding: E1 AD A5 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.101.
- Address
- 0.0.27.101
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.27.101
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 7,013 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -7¢)
- Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +31¢)
- Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -5¢)
The digit sequence 7013 first appears in π at position 5,746 of the decimal expansion (the 5,746ordinal-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.