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13,984

13,984 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 Practical Number Recamán's Sequence Semiperfect Number Smith Number

Properties

Parity
Even
Digit count
5
Digit sum
25
Digit product
864
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
48,931
Recamán's sequence
a(20,748) = 13,984
Square (n²)
195,552,256
Cube (n³)
2,734,602,747,904
Divisor count
24
σ(n) — sum of divisors
30,240
φ(n) — Euler's totient
6,336
Sum of prime factors
52

Primality

Prime factorization: 2 5 × 19 × 23

Nearest primes: 13,967 (−17) · 13,997 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 19 · 23 · 32 · 38 · 46 · 76 · 92 · 152 · 184 · 304 · 368 · 437 · 608 · 736 · 874 · 1748 · 3496 · 6992 (half) · 13984
Aliquot sum (sum of proper divisors): 16,256
Factor pairs (a × b = 13,984)
1 × 13984
2 × 6992
4 × 3496
8 × 1748
16 × 874
19 × 736
23 × 608
32 × 437
38 × 368
46 × 304
76 × 184
92 × 152
First multiples
13,984 · 27,968 (double) · 41,952 · 55,936 · 69,920 · 83,904 · 97,888 · 111,872 · 125,856 · 139,840

Sums & aliquot sequence

As consecutive integers: 727 + 728 + … + 745 597 + 598 + … + 619 187 + 188 + … + 250
Aliquot sequence: 13,984 16,256 16,384 16,383 6,145 1,235 445 95 25 6 6 — reaches a perfect number

Representations

In words
thirteen thousand nine hundred eighty-four
Ordinal
13984th
Binary
11011010100000
Octal
33240
Hexadecimal
0x36A0
Base64
NqA=
One's complement
51,551 (16-bit)
In other bases
ternary (3) 201011221
quaternary (4) 3122200
quinary (5) 421414
senary (6) 144424
septenary (7) 55525
nonary (9) 21157
undecimal (11) a563
duodecimal (12) 8114
tridecimal (13) 6499
tetradecimal (14) 514c
pentadecimal (15) 4224

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγϡπδʹ
Mayan (base 20)
𝋡·𝋮·𝋳·𝋤
Chinese
一萬三千九百八十四
Chinese (financial)
壹萬參仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٩٨٤ Devanagari १३९८४ Bengali ১৩৯৮৪ Tamil ௧௩௯௮௪ Thai ๑๓๙๘๔ Tibetan ༡༣༩༨༤ Khmer ១៣៩៨៤ Lao ໑໓໙໘໔ Burmese ၁၃၉၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,984 = 6
e — Euler's number (e)
Digit 13,984 = 9
φ — Golden ratio (φ)
Digit 13,984 = 9
√2 — Pythagoras's (√2)
Digit 13,984 = 8
ln 2 — Natural log of 2
Digit 13,984 = 1
γ — Euler-Mascheroni (γ)
Digit 13,984 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13984, here are decompositions:

  • 17 + 13967 = 13984
  • 53 + 13931 = 13984
  • 71 + 13913 = 13984
  • 83 + 13901 = 13984
  • 101 + 13883 = 13984
  • 107 + 13877 = 13984
  • 227 + 13757 = 13984
  • 233 + 13751 = 13984

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-36A0
U+36A0
Other letter (Lo)

UTF-8 encoding: E3 9A A0 (3 bytes).

Hex color
#0036A0
RGB(0, 54, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.160.

Address
0.0.54.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.160

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

Position in π

The digit sequence 13984 first appears in π at position 7,332 of the decimal expansion (the 7,332ordinal-suffix:nd 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.