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13,742

13,742 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.).

13,742 (thirteen thousand seven hundred forty-two) is an even 5-digit number. It is a composite number with 4 divisors, and factors as 2 × 6,871. Written other ways, in hexadecimal, 0x35AE.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Recamán's Sequence Self Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
168
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
24,731
Recamán's sequence
a(21,232) = 13,742
Square (n²)
188,842,564
Cube (n³)
2,595,074,514,488
Divisor count
4
σ(n) — sum of divisors
20,616
φ(n) — Euler's totient
6,870
Sum of prime factors
6,873

Primality

Prime factorization: 2 × 6871

Nearest primes: 13,729 (−13) · 13,751 (+9)

Divisors & multiples

All divisors (4)
1 · 2 · 6871 (half) · 13742
Aliquot sum (sum of proper divisors): 6,874
Factor pairs (a × b = 13,742)
1 × 13742
2 × 6871
First multiples
13,742 · 27,484 (double) · 41,226 · 54,968 · 68,710 · 82,452 · 96,194 · 109,936 · 123,678 · 137,420

Sums & aliquot sequence

As consecutive integers: 3,434 + 3,435 + 3,436 + 3,437
Aliquot sequence: 13,742 6,874 4,934 2,470 2,570 2,074 1,274 1,120 1,904 2,560 3,578 1,792 2,296 2,744 3,256 3,584 4,600 — unresolved within range

Continued fraction of √n

√13,742 = [117; (4, 2, 2, 1, 1, 1, 1, 116, 1, 1, 1, 1, 2, 2, 4, 234)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand seven hundred forty-two
Ordinal
13742nd
Binary
11010110101110
Octal
32656
Hexadecimal
0x35AE
Base64
Na4=
One's complement
51,793 (16-bit)
Scientific notation
1.3742 × 10⁴
As a duration
13,742 s = 3 hours, 49 minutes, 2 seconds
In other bases
ternary (3) 200211222
quaternary (4) 3112232
quinary (5) 414432
senary (6) 143342
septenary (7) 55031
nonary (9) 20758
undecimal (11) a363
duodecimal (12) 7b52
tridecimal (13) 6341
tetradecimal (14) 5018
pentadecimal (15) 4112

As an angle

13,742° = 38 × 360° + 62°
62° ≈ 1.082 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιγψμβʹ
Mayan (base 20)
𝋡·𝋮·𝋧·𝋢
Chinese
一萬三千七百四十二
Chinese (financial)
壹萬參仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٧٤٢ Devanagari १३७४२ Bengali ১৩৭৪২ Tamil ௧௩௭௪௨ Thai ๑๓๗๔๒ Tibetan ༡༣༧༤༢ Khmer ១៣៧៤២ Lao ໑໓໗໔໒ Burmese ၁၃၇၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,742 = 6
e — Euler's number (e)
Digit 13,742 = 2
φ — Golden ratio (φ)
Digit 13,742 = 6
√2 — Pythagoras's (√2)
Digit 13,742 = 7
ln 2 — Natural log of 2
Digit 13,742 = 9
γ — Euler-Mascheroni (γ)
Digit 13,742 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13742, here are decompositions:

  • 13 + 13729 = 13742
  • 19 + 13723 = 13742
  • 31 + 13711 = 13742
  • 61 + 13681 = 13742
  • 73 + 13669 = 13742
  • 109 + 13633 = 13742
  • 151 + 13591 = 13742
  • 229 + 13513 = 13742

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-35Ae
U+35AE
Other letter (Lo)

UTF-8 encoding: E3 96 AE (3 bytes).

Hex color
#0035AE
RGB(0, 53, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.174.

Address
0.0.53.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.174

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

Musical pitch

Heard as a frequency, 13,742 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -42¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -4¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -41¢)
Position in π

The digit sequence 13742 first appears in π at position 108,826 of the decimal expansion (the 108,826ordinal-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.