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180,104

180,104 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.).

180,104 (one hundred eighty thousand one hundred four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 47 × 479. Written other ways, in hexadecimal, 0x2BF88.

Arithmetic Number Deficient Number Evil Number Happy Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
401,081
Square (n²)
32,437,450,816
Cube (n³)
5,842,114,641,764,864
Divisor count
16
σ(n) — sum of divisors
345,600
φ(n) — Euler's totient
87,952
Sum of prime factors
532

Primality

Prime factorization: 2 3 × 47 × 479

Nearest primes: 180,097 (−7) · 180,137 (+33)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 47 · 94 · 188 · 376 · 479 · 958 · 1916 · 3832 · 22513 · 45026 · 90052 (half) · 180104
Aliquot sum (sum of proper divisors): 165,496
Factor pairs (a × b = 180,104)
1 × 180104
2 × 90052
4 × 45026
8 × 22513
47 × 3832
94 × 1916
188 × 958
376 × 479
First multiples
180,104 · 360,208 (double) · 540,312 · 720,416 · 900,520 · 1,080,624 · 1,260,728 · 1,440,832 · 1,620,936 · 1,801,040

Sums & aliquot sequence

As consecutive integers: 11,249 + 11,250 + … + 11,264 3,809 + 3,810 + … + 3,855 137 + 138 + … + 615
Aliquot sequence: 180,104 165,496 149,144 134,776 133,064 116,446 79,394 60,574 33,314 16,660 26,432 34,528 39,560 55,480 77,720 105,880 132,440 — unresolved within range

Continued fraction of √n

√180,104 = [424; (2, 1, 1, 2, 2, 1, 1, 2, 1, 14, 2, 3, 2, 1, 2, 29, 1, 16, 2, 1, 4, 1, 1, 105, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred eighty thousand one hundred four
Ordinal
180104th
Binary
101011111110001000
Octal
537610
Hexadecimal
0x2BF88
Base64
Ar+I
One's complement
4,294,787,191 (32-bit)
Scientific notation
1.80104 × 10⁵
As a duration
180,104 s = 2 days, 2 hours, 1 minute, 44 seconds
In other bases
ternary (3) 100011001112
quaternary (4) 223332020
quinary (5) 21230404
senary (6) 3505452
septenary (7) 1350041
nonary (9) 304045
undecimal (11) 113351
duodecimal (12) 88288
tridecimal (13) 63c92
tetradecimal (14) 498c8
pentadecimal (15) 3856e
Palindromic in base 12

As an angle

180,104° = 500 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρπρδʹ
Chinese
一十八萬零一百零四
Chinese (financial)
壹拾捌萬零壹佰零肆
In other modern scripts
Eastern Arabic ١٨٠١٠٤ Devanagari १८०१०४ Bengali ১৮০১০৪ Tamil ௧௮௦௧௦௪ Thai ๑๘๐๑๐๔ Tibetan ༡༨༠༡༠༤ Khmer ១៨០១០៤ Lao ໑໘໐໑໐໔ Burmese ၁၈၀၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180104, here are decompositions:

  • 7 + 180097 = 180104
  • 31 + 180073 = 180104
  • 61 + 180043 = 180104
  • 97 + 180007 = 180104
  • 103 + 180001 = 180104
  • 151 + 179953 = 180104
  • 157 + 179947 = 180104
  • 181 + 179923 = 180104

Showing the first eight; more decompositions exist.

Unicode codepoint
𫾈
CJK Unified Ideograph-2Bf88
U+2BF88
Other letter (Lo)

UTF-8 encoding: F0 AB BE 88 (4 bytes).

Hex color
#02BF88
RGB(2, 191, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.191.136.

Address
0.2.191.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.191.136

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 180,104 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 180104 first appears in π at position 887,462 of the decimal expansion (the 887,462ordinal-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°.