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13,242

13,242 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.).

13,242 (thirteen thousand two hundred forty-two) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 2,207. Its proper divisors sum to 13,254, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x33BA.

Abundant Number Arithmetic Number Cube-Free Odious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
48
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
24,231
Recamán's sequence
a(47,791) = 13,242
Square (n²)
175,350,564
Cube (n³)
2,321,992,168,488
Divisor count
8
σ(n) — sum of divisors
26,496
φ(n) — Euler's totient
4,412
Sum of prime factors
2,212

Primality

Prime factorization: 2 × 3 × 2207

Nearest primes: 13,241 (−1) · 13,249 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 2207 · 4414 · 6621 (half) · 13242
Aliquot sum (sum of proper divisors): 13,254
Factor pairs (a × b = 13,242)
1 × 13242
2 × 6621
3 × 4414
6 × 2207
First multiples
13,242 · 26,484 (double) · 39,726 · 52,968 · 66,210 · 79,452 · 92,694 · 105,936 · 119,178 · 132,420

Sums & aliquot sequence

As consecutive integers: 4,413 + 4,414 + 4,415 3,309 + 3,310 + 3,311 + 3,312 1,098 + 1,099 + … + 1,109
Aliquot sequence: 13,242 13,254 13,830 19,434 20,886 21,606 25,098 26,742 26,754 40,446 63,234 77,406 110,754 171,486 253,458 295,740 647,748 — unresolved within range

Continued fraction of √n

√13,242 = [115; (13, 1, 1, 6, 1, 9, 1, 1, 2, 6, 1, 1, 2, 1, 2, 2, 1, 1, 5, 38, 5, 1, 1, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand two hundred forty-two
Ordinal
13242nd
Binary
11001110111010
Octal
31672
Hexadecimal
0x33BA
Base64
M7o=
One's complement
52,293 (16-bit)
Scientific notation
1.3242 × 10⁴
As a duration
13,242 s = 3 hours, 40 minutes, 42 seconds
In other bases
ternary (3) 200011110
quaternary (4) 3032322
quinary (5) 410432
senary (6) 141150
septenary (7) 53415
nonary (9) 20143
undecimal (11) 9a49
duodecimal (12) 77b6
tridecimal (13) 6048
tetradecimal (14) 4b7c
pentadecimal (15) 3dcc

As an angle

13,242° = 36 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιγσμβʹ
Mayan (base 20)
𝋡·𝋭·𝋢·𝋢
Chinese
一萬三千二百四十二
Chinese (financial)
壹萬參仟貳佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٢٤٢ Devanagari १३२४२ Bengali ১৩২৪২ Tamil ௧௩௨௪௨ Thai ๑๓๒๔๒ Tibetan ༡༣༢༤༢ Khmer ១៣២៤២ Lao ໑໓໒໔໒ Burmese ၁၃၂၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,242 = 0
e — Euler's number (e)
Digit 13,242 = 8
φ — Golden ratio (φ)
Digit 13,242 = 9
√2 — Pythagoras's (√2)
Digit 13,242 = 3
ln 2 — Natural log of 2
Digit 13,242 = 3
γ — Euler-Mascheroni (γ)
Digit 13,242 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13242, here are decompositions:

  • 13 + 13229 = 13242
  • 23 + 13219 = 13242
  • 59 + 13183 = 13242
  • 71 + 13171 = 13242
  • 79 + 13163 = 13242
  • 83 + 13159 = 13242
  • 139 + 13103 = 13242
  • 149 + 13093 = 13242

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Pw
U+33BA
Other symbol (So)

UTF-8 encoding: E3 8E BA (3 bytes).

Hex color
#0033BA
RGB(0, 51, 186)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.186.

Address
0.0.51.186
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.186

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

Musical pitch

Heard as a frequency, 13,242 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -6¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +31¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -5¢)
Position in π

The digit sequence 13242 first appears in π at position 102,057 of the decimal expansion (the 102,057ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.