13,480
13,480 is a composite number, even.
13,480 (thirteen thousand four hundred eighty) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 337. Its proper divisors sum to 16,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x34A8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 8,431
- Recamán's sequence
- a(47,315) = 13,480
- Square (n²)
- 181,710,400
- Cube (n³)
- 2,449,456,192,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 30,420
- φ(n) — Euler's totient
- 5,376
- Sum of prime factors
- 348
Primality
Prime factorization: 2 3 × 5 × 337
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,480 = [116; (9, 1, 2, 25, 2, 5, 5, 1, 3, 2, 1, 1, 1, 1, 5, 1, 5, 9, 1, 1, 57, 1, 1, 9, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand four hundred eighty
- Ordinal
- 13480th
- Binary
- 11010010101000
- Octal
- 32250
- Hexadecimal
- 0x34A8
- Base64
- NKg=
- One's complement
- 52,055 (16-bit)
- Scientific notation
- 1.348 × 10⁴
- As a duration
- 13,480 s = 3 hours, 44 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιγυπʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋮·𝋠
- Chinese
- 一萬三千四百八十
- Chinese (financial)
- 壹萬參仟肆佰捌拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,480 = 7
- e — Euler's number (e)
- Digit 13,480 = 7
- φ — Golden ratio (φ)
- Digit 13,480 = 5
- √2 — Pythagoras's (√2)
- Digit 13,480 = 3
- ln 2 — Natural log of 2
- Digit 13,480 = 2
- γ — Euler-Mascheroni (γ)
- Digit 13,480 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13480, here are decompositions:
- 3 + 13477 = 13480
- 11 + 13469 = 13480
- 17 + 13463 = 13480
- 23 + 13457 = 13480
- 29 + 13451 = 13480
- 59 + 13421 = 13480
- 83 + 13397 = 13480
- 113 + 13367 = 13480
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 92 A8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.168.
- Address
- 0.0.52.168
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.168
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,480 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +25¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -38¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +26¢)
The digit sequence 13480 first appears in π at position 82,430 of the decimal expansion (the 82,430ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.