10,013
10,013 is a composite number, odd.
10,013 (ten thousand thirteen) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 17 × 19 × 31. Written other ways, in hexadecimal, 0x271D.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 5
- Digit sum
- 5
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 31,001
- Recamán's sequence
- a(6,677) = 10,013
- Square (n²)
- 100,260,169
- Cube (n³)
- 1,003,905,072,197
- Divisor count
- 8
- σ(n) — sum of divisors
- 11,520
- φ(n) — Euler's totient
- 8,640
- Sum of prime factors
- 67
Primality
Prime factorization: 17 × 19 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,013 = [100; (15, 2, 1, 1, 3, 3, 1, 49, 3, 1, 3, 10, 3, 1, 3, 49, 1, 3, 3, 1, 1, 2, 15, 200)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand thirteen
- Ordinal
- 10013th
- Binary
- 10011100011101
- Octal
- 23435
- Hexadecimal
- 0x271D
- Base64
- Jx0=
- One's complement
- 55,522 (16-bit)
- Scientific notation
- 1.0013 × 10⁴
- As a duration
- 10,013 s = 2 hours, 46 minutes, 53 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιιγʹ
- Mayan (base 20)
- 𝋡·𝋥·𝋠·𝋭
- Chinese
- 一萬零一十三
- Chinese (financial)
- 壹萬零壹拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,013 = 9
- e — Euler's number (e)
- Digit 10,013 = 4
- φ — Golden ratio (φ)
- Digit 10,013 = 9
- √2 — Pythagoras's (√2)
- Digit 10,013 = 6
- ln 2 — Natural log of 2
- Digit 10,013 = 1
- γ — Euler-Mascheroni (γ)
- Digit 10,013 = 5
Also seen as
UTF-8 encoding: E2 9C 9D (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.29.
- Address
- 0.0.39.29
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.39.29
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,013 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +10¢)
- Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +48¢ — about midway to E9)
- Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +11¢)
The digit sequence 10013 first appears in π at position 64,985 of the decimal expansion (the 64,985ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.