number.wiki
Live analysis

13,724

13,724 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.).
Arithmetic Number Deficient Number Evil Number Happy Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
168
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
42,731
Recamán's sequence
a(4,140) = 13,724
Square (n²)
188,348,176
Cube (n³)
2,584,890,367,424
Divisor count
12
σ(n) — sum of divisors
24,864
φ(n) — Euler's totient
6,624
Sum of prime factors
124

Primality

Prime factorization: 2 2 × 47 × 73

Nearest primes: 13,723 (−1) · 13,729 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 47 · 73 · 94 · 146 · 188 · 292 · 3431 · 6862 (half) · 13724
Aliquot sum (sum of proper divisors): 11,140
Factor pairs (a × b = 13,724)
1 × 13724
2 × 6862
4 × 3431
47 × 292
73 × 188
94 × 146
First multiples
13,724 · 27,448 (double) · 41,172 · 54,896 · 68,620 · 82,344 · 96,068 · 109,792 · 123,516 · 137,240

Sums & aliquot sequence

As consecutive integers: 1,712 + 1,713 + … + 1,719 269 + 270 + … + 315 152 + 153 + … + 224
Aliquot sequence: 13,724 11,140 12,296 12,004 9,010 8,486 4,246 2,738 1,483 1 0 — terminates at zero

Representations

In words
thirteen thousand seven hundred twenty-four
Ordinal
13724th
Binary
11010110011100
Octal
32634
Hexadecimal
0x359C
Base64
NZw=
One's complement
51,811 (16-bit)
In other bases
ternary (3) 200211022
quaternary (4) 3112130
quinary (5) 414344
senary (6) 143312
septenary (7) 55004
nonary (9) 20738
undecimal (11) a347
duodecimal (12) 7b38
tridecimal (13) 6329
tetradecimal (14) 5004
pentadecimal (15) 40ee

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγψκδʹ
Mayan (base 20)
𝋡·𝋮·𝋦·𝋤
Chinese
一萬三千七百二十四
Chinese (financial)
壹萬參仟柒佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٧٢٤ Devanagari १३७२४ Bengali ১৩৭২৪ Tamil ௧௩௭௨௪ Thai ๑๓๗๒๔ Tibetan ༡༣༧༢༤ Khmer ១៣៧២៤ Lao ໑໓໗໒໔ Burmese ၁၃၇၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,724 = 0
e — Euler's number (e)
Digit 13,724 = 2
φ — Golden ratio (φ)
Digit 13,724 = 6
√2 — Pythagoras's (√2)
Digit 13,724 = 8
ln 2 — Natural log of 2
Digit 13,724 = 2
γ — Euler-Mascheroni (γ)
Digit 13,724 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13724, here are decompositions:

  • 3 + 13721 = 13724
  • 13 + 13711 = 13724
  • 31 + 13693 = 13724
  • 37 + 13687 = 13724
  • 43 + 13681 = 13724
  • 97 + 13627 = 13724
  • 127 + 13597 = 13724
  • 157 + 13567 = 13724

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-359C
U+359C
Other letter (Lo)

UTF-8 encoding: E3 96 9C (3 bytes).

Hex color
#00359C
RGB(0, 53, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.156.

Address
0.0.53.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.156

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

Position in π

The digit sequence 13724 first appears in π at position 401,199 of the decimal expansion (the 401,199ordinal-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.