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Number

15,149

15,149 is a prime, odd.

15,149 (fifteen thousand one 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, 0x3B2D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
180
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
94,151
Recamán's sequence
a(46,201) = 15,149
Square (n²)
229,492,201
Cube (n³)
3,476,577,352,949
Divisor count
2
σ(n) — sum of divisors
15,150
φ(n) — Euler's totient
15,148

Primality

15,149 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 15149
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 15,149)
1 × 15149
First multiples
15,149 · 30,298 (double) · 45,447 · 60,596 · 75,745 · 90,894 · 106,043 · 121,192 · 136,341 · 151,490

Sums & aliquot sequence

As a sum of two squares: 35² + 118²
As consecutive integers: 7,574 + 7,575

Continued fraction of √n

√15,149 = [123; (12, 3, 3, 2, 6, 4, 1, 1, 2, 1, 2, 5, 1, 1, 1, 2, 1, 34, 2, 3, 1, 2, 8, 2, …)]

Representations

In words
fifteen thousand one hundred forty-nine
Ordinal
15149th
Binary
11101100101101
Octal
35455
Hexadecimal
0x3B2D
Base64
Oy0=
One's complement
50,386 (16-bit)
Scientific notation
1.5149 × 10⁴
As a duration
15,149 s = 4 hours, 12 minutes, 29 seconds
In other bases
ternary (3) 202210002
quaternary (4) 3230231
quinary (5) 441044
senary (6) 154045
septenary (7) 62111
nonary (9) 22702
undecimal (11) 10422
duodecimal (12) 8925
tridecimal (13) 6b84
tetradecimal (14) 5741
pentadecimal (15) 474e

As an angle

15,149° = 42 × 360° + 29°
29° ≈ 0.506 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιερμθʹ
Mayan (base 20)
𝋡·𝋱·𝋱·𝋩
Chinese
一萬五千一百四十九
Chinese (financial)
壹萬伍仟壹佰肆拾玖
In other modern scripts
Eastern Arabic ١٥١٤٩ Devanagari १५१४९ Bengali ১৫১৪৯ Tamil ௧௫௧௪௯ Thai ๑๕๑๔๙ Tibetan ༡༥༡༤༩ Khmer ១៥១៤៩ Lao ໑໕໑໔໙ Burmese ၁၅၁၄၉

Digit at this position in famous constants

π — Pi (π)
Digit 15,149 = 4
e — Euler's number (e)
Digit 15,149 = 6
φ — Golden ratio (φ)
Digit 15,149 = 9
√2 — Pythagoras's (√2)
Digit 15,149 = 9
ln 2 — Natural log of 2
Digit 15,149 = 2
γ — Euler-Mascheroni (γ)
Digit 15,149 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 15,139 (gap of 10)
  • Next prime: 15,161 (gap of 12)
Unicode codepoint
CJK Unified Ideograph-3B2D
U+3B2D
Other letter (Lo)

UTF-8 encoding: E3 AC AD (3 bytes).

Hex color
#003B2D
RGB(0, 59, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.59.45.

Address
0.0.59.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.59.45

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

Musical pitch

Heard as a frequency, 15,149 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, +27¢)
  • Scientific pitch (C4 = 256 Hz): B9 (15464.4 Hz, -36¢)
  • Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, +28¢)
Position in π

The digit sequence 15149 first appears in π at position 178,479 of the decimal expansion (the 178,479ordinal-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.