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54,984

54,984 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.).

54,984 (fifty-four thousand nine hundred eighty-four) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 29 × 79. Its proper divisors sum to 89,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xD6C8.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
30
Digit product
5,760
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
48,945
Recamán's sequence
a(141,587) = 54,984
Square (n²)
3,023,240,256
Cube (n³)
166,229,842,235,904
Divisor count
32
σ(n) — sum of divisors
144,000
φ(n) — Euler's totient
17,472
Sum of prime factors
117

Primality

Prime factorization: 2 3 × 3 × 29 × 79

Nearest primes: 54,983 (−1) · 55,001 (+17)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 29 · 58 · 79 · 87 · 116 · 158 · 174 · 232 · 237 · 316 · 348 · 474 · 632 · 696 · 948 · 1896 · 2291 · 4582 · 6873 · 9164 · 13746 · 18328 · 27492 (half) · 54984
Aliquot sum (sum of proper divisors): 89,016
Factor pairs (a × b = 54,984)
1 × 54984
2 × 27492
3 × 18328
4 × 13746
6 × 9164
8 × 6873
12 × 4582
24 × 2291
29 × 1896
58 × 948
79 × 696
87 × 632
116 × 474
158 × 348
174 × 316
232 × 237
First multiples
54,984 · 109,968 (double) · 164,952 · 219,936 · 274,920 · 329,904 · 384,888 · 439,872 · 494,856 · 549,840

Sums & aliquot sequence

As consecutive integers: 18,327 + 18,328 + 18,329 3,429 + 3,430 + … + 3,444 1,882 + 1,883 + … + 1,910 1,122 + 1,123 + … + 1,169
Aliquot sequence: 54,984 89,016 133,584 262,224 491,696 475,504 457,472 456,196 434,428 337,644 533,772 815,576 730,864 769,040 1,019,164 764,380 840,860 — unresolved within range

Continued fraction of √n

√54,984 = [234; (2, 18, 3, 1, 5, 1, 5, 1, 3, 18, 2, 468)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
fifty-four thousand nine hundred eighty-four
Ordinal
54984th
Binary
1101011011001000
Octal
153310
Hexadecimal
0xD6C8
Base64
1sg=
One's complement
10,551 (16-bit)
Scientific notation
5.4984 × 10⁴
As a duration
54,984 s = 15 hours, 16 minutes, 24 seconds
In other bases
ternary (3) 2210102110
quaternary (4) 31123020
quinary (5) 3224414
senary (6) 1102320
septenary (7) 316206
nonary (9) 83373
undecimal (11) 38346
duodecimal (12) 279a0
tridecimal (13) 1c047
tetradecimal (14) 16076
pentadecimal (15) 11459

As an angle

54,984° = 152 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵νδϡπδʹ
Mayan (base 20)
𝋦·𝋱·𝋩·𝋤
Chinese
五萬四千九百八十四
Chinese (financial)
伍萬肆仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ٥٤٩٨٤ Devanagari ५४९८४ Bengali ৫৪৯৮৪ Tamil ௫௪௯௮௪ Thai ๕๔๙๘๔ Tibetan ༥༤༩༨༤ Khmer ៥៤៩៨៤ Lao ໕໔໙໘໔ Burmese ၅၄၉၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 54,984 = 7
e — Euler's number (e)
Digit 54,984 = 1
φ — Golden ratio (φ)
Digit 54,984 = 7
√2 — Pythagoras's (√2)
Digit 54,984 = 3
ln 2 — Natural log of 2
Digit 54,984 = 9
γ — Euler-Mascheroni (γ)
Digit 54,984 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 54984, here are decompositions:

  • 5 + 54979 = 54984
  • 11 + 54973 = 54984
  • 43 + 54941 = 54984
  • 67 + 54917 = 54984
  • 103 + 54881 = 54984
  • 107 + 54877 = 54984
  • 151 + 54833 = 54984
  • 197 + 54787 = 54984

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Hun
U+D6C8
Other letter (Lo)

UTF-8 encoding: ED 9B 88 (3 bytes).

Hex color
#00D6C8
RGB(0, 214, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.214.200.

Address
0.0.214.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.214.200

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

Position in π

The digit sequence 54984 first appears in π at position 74,792 of the decimal expansion (the 74,792ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.