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13,442

13,442 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.).

13,442 (thirteen thousand four hundred forty-two) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 11 × 13 × 47. Written other ways, in hexadecimal, 0x3482.

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

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
96
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
24,431
Recamán's sequence
a(47,391) = 13,442
Square (n²)
180,687,364
Cube (n³)
2,428,799,546,888
Divisor count
16
σ(n) — sum of divisors
24,192
φ(n) — Euler's totient
5,520
Sum of prime factors
73

Primality

Prime factorization: 2 × 11 × 13 × 47

Nearest primes: 13,441 (−1) · 13,451 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 11 · 13 · 22 · 26 · 47 · 94 · 143 · 286 · 517 · 611 · 1034 · 1222 · 6721 (half) · 13442
Aliquot sum (sum of proper divisors): 10,750
Factor pairs (a × b = 13,442)
1 × 13442
2 × 6721
11 × 1222
13 × 1034
22 × 611
26 × 517
47 × 286
94 × 143
First multiples
13,442 · 26,884 (double) · 40,326 · 53,768 · 67,210 · 80,652 · 94,094 · 107,536 · 120,978 · 134,420

Sums & aliquot sequence

As consecutive integers: 3,359 + 3,360 + 3,361 + 3,362 1,217 + 1,218 + … + 1,227 1,028 + 1,029 + … + 1,040 284 + 285 + … + 327
Aliquot sequence: 13,442 10,750 9,842 8,398 6,722 3,364 2,733 915 573 195 141 51 21 11 1 0 — terminates at zero

Continued fraction of √n

√13,442 = [115; (1, 15, 1, 1, 3, 4, 2, 4, 3, 1, 1, 15, 1, 230)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand four hundred forty-two
Ordinal
13442nd
Binary
11010010000010
Octal
32202
Hexadecimal
0x3482
Base64
NII=
One's complement
52,093 (16-bit)
Scientific notation
1.3442 × 10⁴
As a duration
13,442 s = 3 hours, 44 minutes, 2 seconds
In other bases
ternary (3) 200102212
quaternary (4) 3102002
quinary (5) 412232
senary (6) 142122
septenary (7) 54122
nonary (9) 20385
undecimal (11) a110
duodecimal (12) 7942
tridecimal (13) 6170
tetradecimal (14) 4c82
pentadecimal (15) 3eb2

As an angle

13,442° = 37 × 360° + 122°
122° ≈ 2.129 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιγυμβʹ
Mayan (base 20)
𝋡·𝋭·𝋬·𝋢
Chinese
一萬三千四百四十二
Chinese (financial)
壹萬參仟肆佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٤٤٢ Devanagari १३४४२ Bengali ১৩৪৪২ Tamil ௧௩௪௪௨ Thai ๑๓๔๔๒ Tibetan ༡༣༤༤༢ Khmer ១៣៤៤២ Lao ໑໓໔໔໒ Burmese ၁၃၄၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,442 = 4
e — Euler's number (e)
Digit 13,442 = 6
φ — Golden ratio (φ)
Digit 13,442 = 4
√2 — Pythagoras's (√2)
Digit 13,442 = 1
ln 2 — Natural log of 2
Digit 13,442 = 5
γ — Euler-Mascheroni (γ)
Digit 13,442 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13442, here are decompositions:

  • 31 + 13411 = 13442
  • 43 + 13399 = 13442
  • 61 + 13381 = 13442
  • 103 + 13339 = 13442
  • 151 + 13291 = 13442
  • 193 + 13249 = 13442
  • 223 + 13219 = 13442
  • 271 + 13171 = 13442

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3482
U+3482
Other letter (Lo)

UTF-8 encoding: E3 92 82 (3 bytes).

Hex color
#003482
RGB(0, 52, 130)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.130.

Address
0.0.52.130
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.130

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

Musical pitch

Heard as a frequency, 13,442 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +20¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -43¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +21¢)
Position in π

The digit sequence 13442 first appears in π at position 14,412 of the decimal expansion (the 14,412ordinal-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.