17,072
17,072 is a composite number, even.
17,072 (seventeen thousand seventy-two) is an even 5-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 97. Its proper divisors sum to 19,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x42B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 15 bits
- Reversed
- 27,071
- Recamán's sequence
- a(44,267) = 17,072
- Square (n²)
- 291,453,184
- Cube (n³)
- 4,975,688,757,248
- Divisor count
- 20
- σ(n) — sum of divisors
- 36,456
- φ(n) — Euler's totient
- 7,680
- Sum of prime factors
- 116
Primality
Prime factorization: 2 4 × 11 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√17,072 = [130; (1, 1, 1, 15, 1, 1, 1, 260)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- seventeen thousand seventy-two
- Ordinal
- 17072nd
- Binary
- 100001010110000
- Octal
- 41260
- Hexadecimal
- 0x42B0
- Base64
- QrA=
- One's complement
- 48,463 (16-bit)
- Scientific notation
- 1.7072 × 10⁴
- As a duration
- 17,072 s = 4 hours, 44 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ιζοβʹ
- Mayan (base 20)
- 𝋢·𝋢·𝋭·𝋬
- Chinese
- 一萬七千零七十二
- Chinese (financial)
- 壹萬柒仟零柒拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 17,072 = 7
- e — Euler's number (e)
- Digit 17,072 = 1
- φ — Golden ratio (φ)
- Digit 17,072 = 1
- √2 — Pythagoras's (√2)
- Digit 17,072 = 0
- ln 2 — Natural log of 2
- Digit 17,072 = 7
- γ — Euler-Mascheroni (γ)
- Digit 17,072 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 17072, here are decompositions:
- 19 + 17053 = 17072
- 31 + 17041 = 17072
- 43 + 17029 = 17072
- 61 + 17011 = 17072
- 79 + 16993 = 17072
- 109 + 16963 = 17072
- 151 + 16921 = 17072
- 193 + 16879 = 17072
Showing the first eight; more decompositions exist.
UTF-8 encoding: E4 8A B0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.66.176.
- Address
- 0.0.66.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.66.176
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 17,072 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +34¢)
- Scientific pitch (C4 = 256 Hz): C♯10 (17358.2 Hz, -29¢)
- Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +35¢)
The digit sequence 17072 first appears in π at position 110,231 of the decimal expansion (the 110,231ordinal-suffix:st 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.