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Number

13,487

13,487 is a prime, odd.

13,487 (thirteen thousand four hundred eighty-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x34AF.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
23
Digit product
672
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
78,431
Recamán's sequence
a(47,301) = 13,487
Square (n²)
181,899,169
Cube (n³)
2,453,274,092,303
Divisor count
2
σ(n) — sum of divisors
13,488
φ(n) — Euler's totient
13,486

Primality

13,487 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13487
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,487)
1 × 13487
First multiples
13,487 · 26,974 (double) · 40,461 · 53,948 · 67,435 · 80,922 · 94,409 · 107,896 · 121,383 · 134,870

Sums & aliquot sequence

As consecutive integers: 6,743 + 6,744

Continued fraction of √n

√13,487 = [116; (7, 2, 20, 1, 1, 1, 5, 2, 4, 1, 1, 2, 3, 1, 1, 5, 9, 1, 11, 3, 10, 4, 3, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand four hundred eighty-seven
Ordinal
13487th
Binary
11010010101111
Octal
32257
Hexadecimal
0x34AF
Base64
NK8=
One's complement
52,048 (16-bit)
Scientific notation
1.3487 × 10⁴
As a duration
13,487 s = 3 hours, 44 minutes, 47 seconds
In other bases
ternary (3) 200111112
quaternary (4) 3102233
quinary (5) 412422
senary (6) 142235
septenary (7) 54215
nonary (9) 20445
undecimal (11) a151
duodecimal (12) 797b
tridecimal (13) 61a6
tetradecimal (14) 4cb5
pentadecimal (15) 3ee2

As an angle

13,487° = 37 × 360° + 167°
167° ≈ 2.915 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγυπζʹ
Mayan (base 20)
𝋡·𝋭·𝋮·𝋧
Chinese
一萬三千四百八十七
Chinese (financial)
壹萬參仟肆佰捌拾柒
In other modern scripts
Eastern Arabic ١٣٤٨٧ Devanagari १३४८७ Bengali ১৩৪৮৭ Tamil ௧௩௪௮௭ Thai ๑๓๔๘๗ Tibetan ༡༣༤༨༧ Khmer ១៣៤៨៧ Lao ໑໓໔໘໗ Burmese ၁၃၄၈၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,487 = 4
e — Euler's number (e)
Digit 13,487 = 6
φ — Golden ratio (φ)
Digit 13,487 = 1
√2 — Pythagoras's (√2)
Digit 13,487 = 9
ln 2 — Natural log of 2
Digit 13,487 = 3
γ — Euler-Mascheroni (γ)
Digit 13,487 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,477 (gap of 10)
  • Next prime: 13,499 (gap of 12)
Unicode codepoint
CJK Unified Ideograph-34Af
U+34AF
Other letter (Lo)

UTF-8 encoding: E3 92 AF (3 bytes).

Hex color
#0034AF
RGB(0, 52, 175)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.175.

Address
0.0.52.175
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.175

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 13,487 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +26¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -37¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +27¢)
Position in π

The digit sequence 13487 first appears in π at position 69,617 of the decimal expansion (the 69,617ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.