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13,042

13,042 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.).

13,042 (thirteen thousand forty-two) is an even 5-digit number. It is a composite number with 4 divisors, and factors as 2 × 6,521. Written other ways, in hexadecimal, 0x32F2.

Cube-Free Deficient Number Evil Number Lazy Caterer Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
24,031
Recamán's sequence
a(48,191) = 13,042
Square (n²)
170,093,764
Cube (n³)
2,218,362,870,088
Divisor count
4
σ(n) — sum of divisors
19,566
φ(n) — Euler's totient
6,520
Sum of prime factors
6,523

Primality

Prime factorization: 2 × 6521

Nearest primes: 13,037 (−5) · 13,043 (+1)

Divisors & multiples

All divisors (4)
1 · 2 · 6521 (half) · 13042
Aliquot sum (sum of proper divisors): 6,524
Factor pairs (a × b = 13,042)
1 × 13042
2 × 6521
First multiples
13,042 · 26,084 (double) · 39,126 · 52,168 · 65,210 · 78,252 · 91,294 · 104,336 · 117,378 · 130,420

Sums & aliquot sequence

As a sum of two squares: 69² + 91²
As consecutive integers: 3,259 + 3,260 + 3,261 + 3,262
Aliquot sequence: 13,042 6,524 6,580 9,548 11,956 12,782 11,410 12,206 7,234 3,620 4,024 3,536 4,276 3,214 1,610 1,846 1,178 — unresolved within range

Continued fraction of √n

√13,042 = [114; (4, 1, 24, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 15, 1, 2, 1, 2, 5, 2, 32, 5, 1, 4, …)]

Representations

In words
thirteen thousand forty-two
Ordinal
13042nd
Binary
11001011110010
Octal
31362
Hexadecimal
0x32F2
Base64
MvI=
One's complement
52,493 (16-bit)
Scientific notation
1.3042 × 10⁴
As a duration
13,042 s = 3 hours, 37 minutes, 22 seconds
In other bases
ternary (3) 122220001
quaternary (4) 3023302
quinary (5) 404132
senary (6) 140214
septenary (7) 53011
nonary (9) 18801
undecimal (11) 9887
duodecimal (12) 766a
tridecimal (13) 5c23
tetradecimal (14) 4a78
pentadecimal (15) 3ce7

As an angle

13,042° = 36 × 360° + 82°
82° ≈ 1.431 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιγμβʹ
Mayan (base 20)
𝋡·𝋬·𝋬·𝋢
Chinese
一萬三千零四十二
Chinese (financial)
壹萬參仟零肆拾貳
In other modern scripts
Eastern Arabic ١٣٠٤٢ Devanagari १३०४२ Bengali ১৩০৪২ Tamil ௧௩௦௪௨ Thai ๑๓๐๔๒ Tibetan ༡༣༠༤༢ Khmer ១៣០៤២ Lao ໑໓໐໔໒ Burmese ၁၃၀၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,042 = 2
e — Euler's number (e)
Digit 13,042 = 2
φ — Golden ratio (φ)
Digit 13,042 = 7
√2 — Pythagoras's (√2)
Digit 13,042 = 3
ln 2 — Natural log of 2
Digit 13,042 = 8
γ — Euler-Mascheroni (γ)
Digit 13,042 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13042, here are decompositions:

  • 5 + 13037 = 13042
  • 41 + 13001 = 13042
  • 59 + 12983 = 13042
  • 83 + 12959 = 13042
  • 89 + 12953 = 13042
  • 101 + 12941 = 13042
  • 131 + 12911 = 13042
  • 149 + 12893 = 13042

Showing the first eight; more decompositions exist.

Unicode codepoint
Circled Katakana Mo
U+32F2
Other symbol (So)

UTF-8 encoding: E3 8B B2 (3 bytes).

Hex color
#0032F2
RGB(0, 50, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.242.

Address
0.0.50.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.242

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

Musical pitch

Heard as a frequency, 13,042 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -33¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +5¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -31¢)
Position in π

The digit sequence 13042 first appears in π at position 135,459 of the decimal expansion (the 135,459ordinal-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