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13,830

13,830 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 Arithmetic Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
3,831
Recamán's sequence
a(21,056) = 13,830
Square (n²)
191,268,900
Cube (n³)
2,645,248,887,000
Divisor count
16
σ(n) — sum of divisors
33,264
φ(n) — Euler's totient
3,680
Sum of prime factors
471

Primality

Prime factorization: 2 × 3 × 5 × 461

Nearest primes: 13,829 (−1) · 13,831 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 461 · 922 · 1383 · 2305 · 2766 · 4610 · 6915 (half) · 13830
Aliquot sum (sum of proper divisors): 19,434
Factor pairs (a × b = 13,830)
1 × 13830
2 × 6915
3 × 4610
5 × 2766
6 × 2305
10 × 1383
15 × 922
30 × 461
First multiples
13,830 · 27,660 (double) · 41,490 · 55,320 · 69,150 · 82,980 · 96,810 · 110,640 · 124,470 · 138,300

Sums & aliquot sequence

As consecutive integers: 4,609 + 4,610 + 4,611 3,456 + 3,457 + 3,458 + 3,459 2,764 + 2,765 + 2,766 + 2,767 + 2,768 1,147 + 1,148 + … + 1,158
Aliquot sequence: 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 1,077,612 1,467,588 — unresolved within range

Representations

In words
thirteen thousand eight hundred thirty
Ordinal
13830th
Binary
11011000000110
Octal
33006
Hexadecimal
0x3606
Base64
NgY=
One's complement
51,705 (16-bit)
In other bases
ternary (3) 200222020
quaternary (4) 3120012
quinary (5) 420310
senary (6) 144010
septenary (7) 55215
nonary (9) 20866
undecimal (11) a433
duodecimal (12) 8006
tridecimal (13) 63ab
tetradecimal (14) 507c
pentadecimal (15) 4170

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ιγωλʹ
Mayan (base 20)
𝋡·𝋮·𝋫·𝋪
Chinese
一萬三千八百三十
Chinese (financial)
壹萬參仟捌佰參拾
In other modern scripts
Eastern Arabic ١٣٨٣٠ Devanagari १३८३० Bengali ১৩৮৩০ Tamil ௧௩௮௩௦ Thai ๑๓๘๓๐ Tibetan ༡༣༨༣༠ Khmer ១៣៨៣០ Lao ໑໓໘໓໐ Burmese ၁၃၈၃၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,830 = 2
e — Euler's number (e)
Digit 13,830 = 7
φ — Golden ratio (φ)
Digit 13,830 = 2
√2 — Pythagoras's (√2)
Digit 13,830 = 1
ln 2 — Natural log of 2
Digit 13,830 = 8
γ — Euler-Mascheroni (γ)
Digit 13,830 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13830, here are decompositions:

  • 23 + 13807 = 13830
  • 31 + 13799 = 13830
  • 41 + 13789 = 13830
  • 67 + 13763 = 13830
  • 71 + 13759 = 13830
  • 73 + 13757 = 13830
  • 79 + 13751 = 13830
  • 101 + 13729 = 13830

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3606
U+3606
Other letter (Lo)

UTF-8 encoding: E3 98 86 (3 bytes).

Hex color
#003606
RGB(0, 54, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.6.

Address
0.0.54.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.6

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

Position in π

The digit sequence 13830 first appears in π at position 388,070 of the decimal expansion (the 388,070ordinal-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.