17,120
17,120 is a composite number, even.
17,120 (seventeen thousand one hundred twenty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 107. Its proper divisors sum to 23,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x42E0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 15 bits
- Reversed
- 2,171
- Recamán's sequence
- a(44,171) = 17,120
- Square (n²)
- 293,094,400
- Cube (n³)
- 5,017,776,128,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 40,824
- φ(n) — Euler's totient
- 6,784
- Sum of prime factors
- 122
Primality
Prime factorization: 2 5 × 5 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√17,120 = [130; (1, 5, 2, 1, 1, 2, 2, 1, 7, 1, 2, 1, 4, 65, 4, 1, 2, 1, 7, 1, 2, 2, 1, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- seventeen thousand one hundred twenty
- Ordinal
- 17120th
- Binary
- 100001011100000
- Octal
- 41340
- Hexadecimal
- 0x42E0
- Base64
- QuA=
- One's complement
- 48,415 (16-bit)
- Scientific notation
- 1.712 × 10⁴
- As a duration
- 17,120 s = 4 hours, 45 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ιζρκʹ
- Mayan (base 20)
- 𝋢·𝋢·𝋰·𝋠
- Chinese
- 一萬七千一百二十
- Chinese (financial)
- 壹萬柒仟壹佰貳拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 17,120 = 9
- e — Euler's number (e)
- Digit 17,120 = 3
- φ — Golden ratio (φ)
- Digit 17,120 = 6
- √2 — Pythagoras's (√2)
- Digit 17,120 = 9
- ln 2 — Natural log of 2
- Digit 17,120 = 0
- γ — Euler-Mascheroni (γ)
- Digit 17,120 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 17120, here are decompositions:
- 3 + 17117 = 17120
- 13 + 17107 = 17120
- 43 + 17077 = 17120
- 67 + 17053 = 17120
- 73 + 17047 = 17120
- 79 + 17041 = 17120
- 109 + 17011 = 17120
- 127 + 16993 = 17120
Showing the first eight; more decompositions exist.
UTF-8 encoding: E4 8B A0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.66.224.
- Address
- 0.0.66.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.66.224
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 17,120 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +38¢)
- Scientific pitch (C4 = 256 Hz): C♯10 (17358.2 Hz, -24¢)
- Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +40¢)
The digit sequence 17120 first appears in π at position 236,416 of the decimal expansion (the 236,416ordinal-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.