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Number

13,649

13,649 is a prime, odd.

13,649 (thirteen thousand six 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, 0x3551.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
23
Digit product
648
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
94,631
Recamán's sequence
a(4,070) = 13,649
Square (n²)
186,295,201
Cube (n³)
2,542,743,198,449
Divisor count
2
σ(n) — sum of divisors
13,650
φ(n) — Euler's totient
13,648

Primality

13,649 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13649
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,649)
1 × 13649
First multiples
13,649 · 27,298 (double) · 40,947 · 54,596 · 68,245 · 81,894 · 95,543 · 109,192 · 122,841 · 136,490

Sums & aliquot sequence

As a sum of two squares: 68² + 95²
As consecutive integers: 6,824 + 6,825

Continued fraction of √n

√13,649 = [116; (1, 4, 1, 5, 2, 13, 3, 1, 1, 11, 1, 2, 1, 2, 14, 4, 5, 1, 1, 2, 8, 1, 20, 2, …)]

Representations

In words
thirteen thousand six hundred forty-nine
Ordinal
13649th
Binary
11010101010001
Octal
32521
Hexadecimal
0x3551
Base64
NVE=
One's complement
51,886 (16-bit)
Scientific notation
1.3649 × 10⁴
As a duration
13,649 s = 3 hours, 47 minutes, 29 seconds
In other bases
ternary (3) 200201112
quaternary (4) 3111101
quinary (5) 414044
senary (6) 143105
septenary (7) 54536
nonary (9) 20645
undecimal (11) a289
duodecimal (12) 7a95
tridecimal (13) 629c
tetradecimal (14) 4d8d
pentadecimal (15) 409e

As an angle

13,649° = 37 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγχμθʹ
Mayan (base 20)
𝋡·𝋮·𝋢·𝋩
Chinese
一萬三千六百四十九
Chinese (financial)
壹萬參仟陸佰肆拾玖
In other modern scripts
Eastern Arabic ١٣٦٤٩ Devanagari १३६४९ Bengali ১৩৬৪৯ Tamil ௧௩௬௪௯ Thai ๑๓๖๔๙ Tibetan ༡༣༦༤༩ Khmer ១៣៦៤៩ Lao ໑໓໖໔໙ Burmese ၁၃၆၄၉

Digit at this position in famous constants

π — Pi (π)
Digit 13,649 = 0
e — Euler's number (e)
Digit 13,649 = 7
φ — Golden ratio (φ)
Digit 13,649 = 8
√2 — Pythagoras's (√2)
Digit 13,649 = 9
ln 2 — Natural log of 2
Digit 13,649 = 6
γ — Euler-Mascheroni (γ)
Digit 13,649 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,633 (gap of 16)
  • Next prime: 13,669 (gap of 20)
Unicode codepoint
CJK Unified Ideograph-3551
U+3551
Other letter (Lo)

UTF-8 encoding: E3 95 91 (3 bytes).

Hex color
#003551
RGB(0, 53, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.81.

Address
0.0.53.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.81

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

Musical pitch

Heard as a frequency, 13,649 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +46¢ — about midway to A9)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -16¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +47¢ — about midway to A♯9)
Position in π

The digit sequence 13649 first appears in π at position 89,282 of the decimal expansion (the 89,282ordinal-suffix:nd 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.