10,601
10,601 is a prime, odd.
10,601 (ten thousand six hundred one) 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, 0x2969.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 5
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- Yes
- Bit width
- 14 bits
- Flips to (rotate 180°)
- 10,901
- Recamán's sequence
- a(50,317) = 10,601
- Square (n²)
- 112,381,201
- Cube (n³)
- 1,191,353,111,801
- Divisor count
- 2
- σ(n) — sum of divisors
- 10,602
- φ(n) — Euler's totient
- 10,600
Primality
10,601 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,601 = [102; (1, 24, 1, 2, 1, 12, 8, 6, 3, 4, 1, 2, 2, 2, 6, 1, 2, 4, 1, 3, 1, 40, 2, 1, …)]
Period length 55 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand six hundred one
- Ordinal
- 10601st
- Binary
- 10100101101001
- Octal
- 24551
- Hexadecimal
- 0x2969
- Base64
- KWk=
- One's complement
- 54,934 (16-bit)
- Scientific notation
- 1.0601 × 10⁴
- As a duration
- 10,601 s = 2 hours, 56 minutes, 41 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓏺
- Greek (Milesian)
- ͵ιχαʹ
- Mayan (base 20)
- 𝋡·𝋦·𝋪·𝋡
- Chinese
- 一萬零六百零一
- Chinese (financial)
- 壹萬零陸佰零壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,601 = 9
- e — Euler's number (e)
- Digit 10,601 = 4
- φ — Golden ratio (φ)
- Digit 10,601 = 6
- √2 — Pythagoras's (√2)
- Digit 10,601 = 2
- ln 2 — Natural log of 2
- Digit 10,601 = 4
- γ — Euler-Mascheroni (γ)
- Digit 10,601 = 1
Also seen as
UTF-8 encoding: E2 A5 A9 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.105.
- Address
- 0.0.41.105
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.41.105
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,601 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, +9¢)
- Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +46¢ — about midway to F9)
- Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, +10¢)
The digit sequence 10601 first appears in π at position 13,736 of the decimal expansion (the 13,736ordinal-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.