17,420
17,420 is a composite number, even.
17,420 (seventeen thousand four hundred twenty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 13 × 67. Its proper divisors sum to 22,564, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x440C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 15 bits
- Reversed
- 2,471
- Recamán's sequence
- a(16,928) = 17,420
- Square (n²)
- 303,456,400
- Cube (n³)
- 5,286,210,488,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 39,984
- φ(n) — Euler's totient
- 6,336
- Sum of prime factors
- 89
Primality
Prime factorization: 2 2 × 5 × 13 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√17,420 = [131; (1, 64, 1, 262)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- seventeen thousand four hundred twenty
- Ordinal
- 17420th
- Binary
- 100010000001100
- Octal
- 42014
- Hexadecimal
- 0x440C
- Base64
- RAw=
- One's complement
- 48,115 (16-bit)
- Scientific notation
- 1.742 × 10⁴
- As a duration
- 17,420 s = 4 hours, 50 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ιζυκʹ
- Mayan (base 20)
- 𝋢·𝋣·𝋫·𝋠
- Chinese
- 一萬七千四百二十
- Chinese (financial)
- 壹萬柒仟肆佰貳拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 17,420 = 4
- e — Euler's number (e)
- Digit 17,420 = 7
- φ — Golden ratio (φ)
- Digit 17,420 = 6
- √2 — Pythagoras's (√2)
- Digit 17,420 = 7
- ln 2 — Natural log of 2
- Digit 17,420 = 8
- γ — Euler-Mascheroni (γ)
- Digit 17,420 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 17420, here are decompositions:
- 3 + 17417 = 17420
- 19 + 17401 = 17420
- 31 + 17389 = 17420
- 37 + 17383 = 17420
- 43 + 17377 = 17420
- 61 + 17359 = 17420
- 79 + 17341 = 17420
- 103 + 17317 = 17420
Showing the first eight; more decompositions exist.
UTF-8 encoding: E4 90 8C (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.68.12.
- Address
- 0.0.68.12
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.68.12
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 17,420 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, -31¢)
- Scientific pitch (C4 = 256 Hz): C♯10 (17358.2 Hz, +6¢)
- Baroque pitch (A4 = 415 Hz): D10 (17726.7 Hz, -30¢)
The digit sequence 17420 first appears in π at position 89,537 of the decimal expansion (the 89,537ordinal-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.