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53,984

53,984 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 Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
29
Digit product
4,320
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
48,935
Recamán's sequence
a(293,484) = 53,984
Square (n²)
2,914,272,256
Cube (n³)
157,324,073,467,904
Divisor count
24
σ(n) — sum of divisors
121,968
φ(n) — Euler's totient
23,040
Sum of prime factors
258

Primality

Prime factorization: 2 5 × 7 × 241

Nearest primes: 53,959 (−25) · 53,987 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 112 · 224 · 241 · 482 · 964 · 1687 · 1928 · 3374 · 3856 · 6748 · 7712 · 13496 · 26992 (half) · 53984
Aliquot sum (sum of proper divisors): 67,984
Factor pairs (a × b = 53,984)
1 × 53984
2 × 26992
4 × 13496
7 × 7712
8 × 6748
14 × 3856
16 × 3374
28 × 1928
32 × 1687
56 × 964
112 × 482
224 × 241
First multiples
53,984 · 107,968 (double) · 161,952 · 215,936 · 269,920 · 323,904 · 377,888 · 431,872 · 485,856 · 539,840

Sums & aliquot sequence

As consecutive integers: 7,709 + 7,710 + … + 7,715 812 + 813 + … + 875 104 + 105 + … + 344
Aliquot sequence: 53,984 67,984 82,800 217,032 325,608 488,472 732,768 1,308,432 2,071,808 2,064,226 1,043,978 642,490 539,462 511,162 261,830 209,482 177,590 — unresolved within range

Representations

In words
fifty-three thousand nine hundred eighty-four
Ordinal
53984th
Binary
1101001011100000
Octal
151340
Hexadecimal
0xD2E0
Base64
0uA=
One's complement
11,551 (16-bit)
In other bases
ternary (3) 2202001102
quaternary (4) 31023200
quinary (5) 3211414
senary (6) 1053532
septenary (7) 313250
nonary (9) 82042
undecimal (11) 37617
duodecimal (12) 272a8
tridecimal (13) 1b758
tetradecimal (14) 15960
pentadecimal (15) 10ede

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵νγϡπδʹ
Mayan (base 20)
𝋦·𝋮·𝋳·𝋤
Chinese
五萬三千九百八十四
Chinese (financial)
伍萬參仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ٥٣٩٨٤ Devanagari ५३९८४ Bengali ৫৩৯৮৪ Tamil ௫௩௯௮௪ Thai ๕๓๙๘๔ Tibetan ༥༣༩༨༤ Khmer ៥៣៩៨៤ Lao ໕໓໙໘໔ Burmese ၅၃၉၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 53,984 = 1
e — Euler's number (e)
Digit 53,984 = 3
φ — Golden ratio (φ)
Digit 53,984 = 7
√2 — Pythagoras's (√2)
Digit 53,984 = 8
ln 2 — Natural log of 2
Digit 53,984 = 4
γ — Euler-Mascheroni (γ)
Digit 53,984 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 53984, here are decompositions:

  • 61 + 53923 = 53984
  • 67 + 53917 = 53984
  • 97 + 53887 = 53984
  • 103 + 53881 = 53984
  • 127 + 53857 = 53984
  • 193 + 53791 = 53984
  • 211 + 53773 = 53984
  • 331 + 53653 = 53984

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Tyils
U+D2E0
Other letter (Lo)

UTF-8 encoding: ED 8B A0 (3 bytes).

Hex color
#00D2E0
RGB(0, 210, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.210.224.

Address
0.0.210.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.210.224

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

Position in π

The digit sequence 53984 first appears in π at position 6,483 of the decimal expansion (the 6,483ordinal-suffix:rd 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.