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13,840

13,840 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.).
Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
4,831
Recamán's sequence
a(21,036) = 13,840
Square (n²)
191,545,600
Cube (n³)
2,650,991,104,000
Divisor count
20
σ(n) — sum of divisors
32,364
φ(n) — Euler's totient
5,504
Sum of prime factors
186

Primality

Prime factorization: 2 4 × 5 × 173

Nearest primes: 13,831 (−9) · 13,841 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 173 · 346 · 692 · 865 · 1384 · 1730 · 2768 · 3460 · 6920 (half) · 13840
Aliquot sum (sum of proper divisors): 18,524
Factor pairs (a × b = 13,840)
1 × 13840
2 × 6920
4 × 3460
5 × 2768
8 × 1730
10 × 1384
16 × 865
20 × 692
40 × 346
80 × 173
First multiples
13,840 · 27,680 (double) · 41,520 · 55,360 · 69,200 · 83,040 · 96,880 · 110,720 · 124,560 · 138,400

Sums & aliquot sequence

As a sum of two squares: 36² + 112² = 68² + 96²
As consecutive integers: 2,766 + 2,767 + 2,768 + 2,769 + 2,770 417 + 418 + … + 448 7 + 8 + … + 166
Aliquot sequence: 13,840 18,524 16,924 12,700 15,076 11,314 5,660 6,268 4,708 4,364 3,280 4,532 4,204 3,160 4,040 5,140 5,696 — unresolved within range

Representations

In words
thirteen thousand eight hundred forty
Ordinal
13840th
Binary
11011000010000
Octal
33020
Hexadecimal
0x3610
Base64
NhA=
One's complement
51,695 (16-bit)
In other bases
ternary (3) 200222121
quaternary (4) 3120100
quinary (5) 420330
senary (6) 144024
septenary (7) 55231
nonary (9) 20877
undecimal (11) a442
duodecimal (12) 8014
tridecimal (13) 63b8
tetradecimal (14) 5088
pentadecimal (15) 417a

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγωμʹ
Mayan (base 20)
𝋡·𝋮·𝋬·𝋠
Chinese
一萬三千八百四十
Chinese (financial)
壹萬參仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٣٨٤٠ Devanagari १३८४० Bengali ১৩৮৪০ Tamil ௧௩௮௪௦ Thai ๑๓๘๔๐ Tibetan ༡༣༨༤༠ Khmer ១៣៨៤០ Lao ໑໓໘໔໐ Burmese ၁၃၈၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,840 = 9
e — Euler's number (e)
Digit 13,840 = 9
φ — Golden ratio (φ)
Digit 13,840 = 9
√2 — Pythagoras's (√2)
Digit 13,840 = 0
ln 2 — Natural log of 2
Digit 13,840 = 6
γ — Euler-Mascheroni (γ)
Digit 13,840 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13840, here are decompositions:

  • 11 + 13829 = 13840
  • 41 + 13799 = 13840
  • 59 + 13781 = 13840
  • 83 + 13757 = 13840
  • 89 + 13751 = 13840
  • 131 + 13709 = 13840
  • 149 + 13691 = 13840
  • 191 + 13649 = 13840

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3610
U+3610
Other letter (Lo)

UTF-8 encoding: E3 98 90 (3 bytes).

Hex color
#003610
RGB(0, 54, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.16.

Address
0.0.54.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.16

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

Position in π

The digit sequence 13840 first appears in π at position 135,581 of the decimal expansion (the 135,581ordinal-suffix:st 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.