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Number

13,249

13,249 is a prime, odd.

13,249 (thirteen thousand two hundred forty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x33C1.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
216
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
94,231
Recamán's sequence
a(47,777) = 13,249
Square (n²)
175,536,001
Cube (n³)
2,325,676,477,249
Divisor count
2
σ(n) — sum of divisors
13,250
φ(n) — Euler's totient
13,248

Primality

13,249 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13249
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,249)
1 × 13249
First multiples
13,249 · 26,498 (double) · 39,747 · 52,996 · 66,245 · 79,494 · 92,743 · 105,992 · 119,241 · 132,490

Sums & aliquot sequence

As a sum of two squares: 57² + 100²
As consecutive integers: 6,624 + 6,625

Continued fraction of √n

√13,249 = [115; (9, 1, 1, 2, 2, 1, 5, 1, 1, 14, 1, 4, 5, 1, 1, 4, 3, 1, 28, 76, 1, 2, 2, 1, …)]

Representations

In words
thirteen thousand two hundred forty-nine
Ordinal
13249th
Binary
11001111000001
Octal
31701
Hexadecimal
0x33C1
Base64
M8E=
One's complement
52,286 (16-bit)
Scientific notation
1.3249 × 10⁴
As a duration
13,249 s = 3 hours, 40 minutes, 49 seconds
In other bases
ternary (3) 200011201
quaternary (4) 3033001
quinary (5) 410444
senary (6) 141201
septenary (7) 53425
nonary (9) 20151
undecimal (11) 9a55
duodecimal (12) 7801
tridecimal (13) 6052
tetradecimal (14) 4b85
pentadecimal (15) 3dd4

As an angle

13,249° = 36 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγσμθʹ
Mayan (base 20)
𝋡·𝋭·𝋢·𝋩
Chinese
一萬三千二百四十九
Chinese (financial)
壹萬參仟貳佰肆拾玖
In other modern scripts
Eastern Arabic ١٣٢٤٩ Devanagari १३२४९ Bengali ১৩২৪৯ Tamil ௧௩௨௪௯ Thai ๑๓๒๔๙ Tibetan ༡༣༢༤༩ Khmer ១៣២៤៩ Lao ໑໓໒໔໙ Burmese ၁၃၂၄၉

Digit at this position in famous constants

π — Pi (π)
Digit 13,249 = 8
e — Euler's number (e)
Digit 13,249 = 3
φ — Golden ratio (φ)
Digit 13,249 = 7
√2 — Pythagoras's (√2)
Digit 13,249 = 3
ln 2 — Natural log of 2
Digit 13,249 = 6
γ — Euler-Mascheroni (γ)
Digit 13,249 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,241 (gap of 8)
  • Next prime: 13,259 (gap of 10)
Unicode codepoint
Square M Ohm
U+33C1
Other symbol (So)

UTF-8 encoding: E3 8F 81 (3 bytes).

Hex color
#0033C1
RGB(0, 51, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.193.

Address
0.0.51.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.193

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

Musical pitch

Heard as a frequency, 13,249 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -5¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +32¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -4¢)
Position in π

The digit sequence 13249 first appears in π at position 36,429 of the decimal expansion (the 36,429ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.