number.wiki
Live analysis

15,104

15,104 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

15,104 (fifteen thousand one hundred four) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2⁸ × 59. Its proper divisors sum to 15,556, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3B00.

Abundant Number Frugal Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
40,151
Recamán's sequence
a(90,092) = 15,104
Square (n²)
228,130,816
Cube (n³)
3,445,687,844,864
Divisor count
18
σ(n) — sum of divisors
30,660
φ(n) — Euler's totient
7,424
Sum of prime factors
75

Primality

Prime factorization: 2 8 × 59

Nearest primes: 15,101 (−3) · 15,107 (+3)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 8 · 16 · 32 · 59 · 64 · 118 · 128 · 236 · 256 · 472 · 944 · 1888 · 3776 · 7552 (half) · 15104
Aliquot sum (sum of proper divisors): 15,556
Factor pairs (a × b = 15,104)
1 × 15104
2 × 7552
4 × 3776
8 × 1888
16 × 944
32 × 472
59 × 256
64 × 236
118 × 128
First multiples
15,104 · 30,208 (double) · 45,312 · 60,416 · 75,520 · 90,624 · 105,728 · 120,832 · 135,936 · 151,040

Sums & aliquot sequence

As consecutive integers: 227 + 228 + … + 285
Aliquot sequence: 15,104 15,556 11,674 7,226 3,616 3,566 1,786 1,094 550 566 286 218 112 136 134 70 74 — unresolved within range

Continued fraction of √n

√15,104 = [122; (1, 8, 1, 5, 10, 1, 1, 13, 1, 14, 2, 3, 7, 1, 1, 1, 3, 1, 4, 2, 4, 61, 4, 2, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
fifteen thousand one hundred four
Ordinal
15104th
Binary
11101100000000
Octal
35400
Hexadecimal
0x3B00
Base64
OwA=
One's complement
50,431 (16-bit)
Scientific notation
1.5104 × 10⁴
As a duration
15,104 s = 4 hours, 11 minutes, 44 seconds
In other bases
ternary (3) 202201102
quaternary (4) 3230000
quinary (5) 440404
senary (6) 153532
septenary (7) 62015
nonary (9) 22642
undecimal (11) 10391
duodecimal (12) 88a8
tridecimal (13) 6b4b
tetradecimal (14) 570c
pentadecimal (15) 471e

As an angle

15,104° = 41 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιερδʹ
Mayan (base 20)
𝋡·𝋱·𝋯·𝋤
Chinese
一萬五千一百零四
Chinese (financial)
壹萬伍仟壹佰零肆
In other modern scripts
Eastern Arabic ١٥١٠٤ Devanagari १५१०४ Bengali ১৫১০৪ Tamil ௧௫௧௦௪ Thai ๑๕๑๐๔ Tibetan ༡༥༡༠༤ Khmer ១៥១០៤ Lao ໑໕໑໐໔ Burmese ၁၅၁၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 15,104 = 5
e — Euler's number (e)
Digit 15,104 = 1
φ — Golden ratio (φ)
Digit 15,104 = 7
√2 — Pythagoras's (√2)
Digit 15,104 = 9
ln 2 — Natural log of 2
Digit 15,104 = 6
γ — Euler-Mascheroni (γ)
Digit 15,104 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 15104, here are decompositions:

  • 3 + 15101 = 15104
  • 13 + 15091 = 15104
  • 31 + 15073 = 15104
  • 43 + 15061 = 15104
  • 73 + 15031 = 15104
  • 157 + 14947 = 15104
  • 181 + 14923 = 15104
  • 277 + 14827 = 15104

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3B00
U+3B00
Other letter (Lo)

UTF-8 encoding: E3 AC 80 (3 bytes).

Hex color
#003B00
RGB(0, 59, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.59.0.

Address
0.0.59.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.59.0

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

Musical pitch

Heard as a frequency, 15,104 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, +22¢)
  • Scientific pitch (C4 = 256 Hz): B9 (15464.4 Hz, -41¢)
  • Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, +23¢)
Position in π

The digit sequence 15104 first appears in π at position 98,976 of the decimal expansion (the 98,976ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.