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183,820

183,820 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.).

183,820 (one hundred eighty-three thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 13 × 101. Its proper divisors sum to 295,988, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2CE0C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
28,381
Recamán's sequence
a(177,408) = 183,820
Square (n²)
33,789,792,400
Cube (n³)
6,211,239,638,968,000
Divisor count
48
σ(n) — sum of divisors
479,808
φ(n) — Euler's totient
57,600
Sum of prime factors
130

Primality

Prime factorization: 2 2 × 5 × 7 × 13 × 101

Nearest primes: 183,809 (−11) · 183,823 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 7 · 10 · 13 · 14 · 20 · 26 · 28 · 35 · 52 · 65 · 70 · 91 · 101 · 130 · 140 · 182 · 202 · 260 · 364 · 404 · 455 · 505 · 707 · 910 · 1010 · 1313 · 1414 · 1820 · 2020 · 2626 · 2828 · 3535 · 5252 · 6565 · 7070 · 9191 · 13130 · 14140 · 18382 · 26260 · 36764 · 45955 · 91910 (half) · 183820
Aliquot sum (sum of proper divisors): 295,988
Factor pairs (a × b = 183,820)
1 × 183820
2 × 91910
4 × 45955
5 × 36764
7 × 26260
10 × 18382
13 × 14140
14 × 13130
20 × 9191
26 × 7070
28 × 6565
35 × 5252
52 × 3535
65 × 2828
70 × 2626
91 × 2020
101 × 1820
130 × 1414
140 × 1313
182 × 1010
202 × 910
260 × 707
364 × 505
404 × 455
First multiples
183,820 · 367,640 (double) · 551,460 · 735,280 · 919,100 · 1,102,920 · 1,286,740 · 1,470,560 · 1,654,380 · 1,838,200

Sums & aliquot sequence

As consecutive integers: 36,762 + 36,763 + 36,764 + 36,765 + 36,766 26,257 + 26,258 + … + 26,263 22,974 + 22,975 + … + 22,981 14,134 + 14,135 + … + 14,146
Aliquot sequence: 183,820 → 295,988 → 371,308 → 384,692 → 455,308 → 521,444 → 616,924 → 729,764 → 755,356 → 786,884 → 805,756 → 834,932 → 834,988 → 987,476 → 987,532 → 1,140,244 → 1,162,924 — unresolved within range

Continued fraction of √n

√183,820 = [428; (1, 2, 1, 7, 2, 2, 2, 94, 1, 6, 6, 2, 2, 14, 1, 9, 1, 1, 1, 6, 2, 23, 2, 1, …)]

Representations

In words
one hundred eighty-three thousand eight hundred twenty
Ordinal
183820th
Binary
101100111000001100
Octal
547014
Hexadecimal
0x2CE0C
Base64
As4M
One's complement
4,294,783,475 (32-bit)
Scientific notation
1.8382 × 10⁵
As a duration
183,820 s = 2 days, 3 hours, 3 minutes, 40 seconds
In other bases
ternary (3) 100100011011
quaternary (4) 230320030
quinary (5) 21340240
senary (6) 3535004
septenary (7) 1363630
nonary (9) 310134
undecimal (11) 11611a
duodecimal (12) 8a464
tridecimal (13) 65890
tetradecimal (14) 4adc0
pentadecimal (15) 396ea

As an angle

183,820° = 510 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρπγωκʹ
Chinese
一十八萬三千八百二十
Chinese (financial)
壹拾捌萬參仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٨٣٨٢٠ Devanagari १८३८२० Bengali ১৮৩৮২০ Tamil ௧௮௩௮௨௦ Thai ๑๘๓๘๒๐ Tibetan ༡༨༣༨༢༠ Khmer ១៨៣៨២០ Lao ໑໘໓໘໒໐ Burmese ၁၈၃၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 183820, here are decompositions:

  • 11 + 183809 = 183820
  • 23 + 183797 = 183820
  • 59 + 183761 = 183820
  • 107 + 183713 = 183820
  • 113 + 183707 = 183820
  • 137 + 183683 = 183820
  • 227 + 183593 = 183820
  • 233 + 183587 = 183820

Showing the first eight; more decompositions exist.

Unicode codepoint
𬸌
CJK Unified Ideograph-2Ce0C
U+2CE0C
Other letter (Lo)

UTF-8 encoding: F0 AC B8 8C (4 bytes).

Hex color
#02CE0C
RGB(2, 206, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.206.12.

Address
0.2.206.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.206.12

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 183,820 and was likely granted around 1875.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 183820 first appears in π at position 617,833 of the decimal expansion (the 617,833ordinal-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.

Related reading

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