4,013
4,013 is a prime, odd.
4,013 (four thousand thirteen) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in binary, 111110101101.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 4
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 3,104
- Recamán's sequence
- a(14,365) = 4,013
- Square (n²)
- 16,104,169
- Cube (n³)
- 64,626,030,197
- Divisor count
- 2
- σ(n) — sum of divisors
- 4,014
- φ(n) — Euler's totient
- 4,012
Primality
4,013 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√4,013 = [63; (2, 1, 6, 1, 3, 1, 1, 1, 9, 9, 1, 1, 1, 3, 1, 6, 1, 2, 126)]
Period length 19 — the block in parentheses repeats forever.
Representations
- In words
- four thousand thirteen
- Ordinal
- 4013th
- Binary
- 111110101101
- Octal
- 7655
- Hexadecimal
- 0xFAD
- Base64
- D60=
- One's complement
- 61,522 (16-bit)
- Scientific notation
- 4.013 × 10³
- As a duration
- 4,013 s = 1 hour, 6 minutes, 53 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵διγʹ
- Mayan (base 20)
- 𝋪·𝋠·𝋭
- Chinese
- 四千零一十三
- Chinese (financial)
- 肆仟零壹拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,013 = 7
- e — Euler's number (e)
- Digit 4,013 = 7
- φ — Golden ratio (φ)
- Digit 4,013 = 6
- √2 — Pythagoras's (√2)
- Digit 4,013 = 2
- ln 2 — Natural log of 2
- Digit 4,013 = 1
- γ — Euler-Mascheroni (γ)
- Digit 4,013 = 0
Also seen as
UTF-8 encoding: E0 BE AD (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.173.
- Address
- 0.0.15.173
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.15.173
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 4,013 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +27¢)
- Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -35¢)
- Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +28¢)
The digit sequence 4013 first appears in π at position 2,078 of the decimal expansion (the 2,078ordinal-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.