13,530
13,530 is a composite number, even.
13,530 (thirteen thousand five hundred thirty) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 11 × 41. Its proper divisors sum to 22,758, more than the number itself, making it an abundant number. It is the 164th triangular number. Written other ways, in hexadecimal, 0x34DA.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 3,531
- Recamán's sequence
- a(47,215) = 13,530
- Square (n²)
- 183,060,900
- Cube (n³)
- 2,476,813,977,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 36,288
- φ(n) — Euler's totient
- 3,200
- Sum of prime factors
- 62
Primality
Prime factorization: 2 × 3 × 5 × 11 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,530 = [116; (3, 7, 5, 1, 4, 1, 5, 7, 3, 232)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand five hundred thirty
- Ordinal
- 13530th
- Binary
- 11010011011010
- Octal
- 32332
- Hexadecimal
- 0x34DA
- Base64
- NNo=
- One's complement
- 52,005 (16-bit)
- Scientific notation
- 1.353 × 10⁴
- As a duration
- 13,530 s = 3 hours, 45 minutes, 30 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιγφλʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋰·𝋪
- Chinese
- 一萬三千五百三十
- Chinese (financial)
- 壹萬參仟伍佰參拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,530 = 6
- e — Euler's number (e)
- Digit 13,530 = 6
- φ — Golden ratio (φ)
- Digit 13,530 = 8
- √2 — Pythagoras's (√2)
- Digit 13,530 = 4
- ln 2 — Natural log of 2
- Digit 13,530 = 1
- γ — Euler-Mascheroni (γ)
- Digit 13,530 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13530, here are decompositions:
- 7 + 13523 = 13530
- 17 + 13513 = 13530
- 31 + 13499 = 13530
- 43 + 13487 = 13530
- 53 + 13477 = 13530
- 61 + 13469 = 13530
- 67 + 13463 = 13530
- 73 + 13457 = 13530
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 93 9A (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.218.
- Address
- 0.0.52.218
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.218
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,530 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +31¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -31¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +32¢)
The digit sequence 13530 first appears in π at position 64,048 of the decimal expansion (the 64,048ordinal-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.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.