17,020
17,020 is a composite number, even.
17,020 (seventeen thousand twenty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 23 × 37. Its proper divisors sum to 21,284, more than the number itself, making it an abundant number. It is the 184th triangular number. Written other ways, in hexadecimal, 0x427C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 15 bits
- Reversed
- 2,071
- Recamán's sequence
- a(44,371) = 17,020
- Square (n²)
- 289,680,400
- Cube (n³)
- 4,930,360,408,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 38,304
- φ(n) — Euler's totient
- 6,336
- Sum of prime factors
- 69
Primality
Prime factorization: 2 2 × 5 × 23 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√17,020 = [130; (2, 5, 1, 6, 2, 2, 23, 3, 5, 1, 1, 1, 1, 28, 2, 1, 1, 1, 1, 64, 1, 1, 1, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- seventeen thousand twenty
- Ordinal
- 17020th
- Binary
- 100001001111100
- Octal
- 41174
- Hexadecimal
- 0x427C
- Base64
- Qnw=
- One's complement
- 48,515 (16-bit)
- Scientific notation
- 1.702 × 10⁴
- As a duration
- 17,020 s = 4 hours, 43 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
- Greek (Milesian)
- ͵ιζκʹ
- Mayan (base 20)
- 𝋢·𝋢·𝋫·𝋠
- Chinese
- 一萬七千零二十
- Chinese (financial)
- 壹萬柒仟零貳拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 17,020 = 5
- e — Euler's number (e)
- Digit 17,020 = 6
- φ — Golden ratio (φ)
- Digit 17,020 = 8
- √2 — Pythagoras's (√2)
- Digit 17,020 = 9
- ln 2 — Natural log of 2
- Digit 17,020 = 4
- γ — Euler-Mascheroni (γ)
- Digit 17,020 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 17020, here are decompositions:
- 41 + 16979 = 17020
- 83 + 16937 = 17020
- 89 + 16931 = 17020
- 131 + 16889 = 17020
- 137 + 16883 = 17020
- 149 + 16871 = 17020
- 191 + 16829 = 17020
- 197 + 16823 = 17020
Showing the first eight; more decompositions exist.
UTF-8 encoding: E4 89 BC (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.66.124.
- Address
- 0.0.66.124
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.66.124
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 17,020 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +28¢)
- Scientific pitch (C4 = 256 Hz): C♯10 (17358.2 Hz, -34¢)
- Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +30¢)
The digit sequence 17020 first appears in π at position 146,226 of the decimal expansion (the 146,226ordinal-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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.