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180,172

180,172 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.).

180,172 (one hundred eighty thousand one hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 31 × 1,453. Written other ways, in hexadecimal, 0x2BFCC.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
271,081
Recamán's sequence
a(465,383) = 180,172
Square (n²)
32,461,949,584
Cube (n³)
5,848,734,380,448,448
Divisor count
12
σ(n) — sum of divisors
325,696
φ(n) — Euler's totient
87,120
Sum of prime factors
1,488

Primality

Prime factorization: 2 2 × 31 × 1453

Nearest primes: 180,161 (−11) · 180,179 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 31 · 62 · 124 · 1453 · 2906 · 5812 · 45043 · 90086 (half) · 180172
Aliquot sum (sum of proper divisors): 145,524
Factor pairs (a × b = 180,172)
1 × 180172
2 × 90086
4 × 45043
31 × 5812
62 × 2906
124 × 1453
First multiples
180,172 · 360,344 (double) · 540,516 · 720,688 · 900,860 · 1,081,032 · 1,261,204 · 1,441,376 · 1,621,548 · 1,801,720

Sums & aliquot sequence

As consecutive integers: 22,518 + 22,519 + … + 22,525 5,797 + 5,798 + … + 5,827 603 + 604 + … + 850
Aliquot sequence: 180,172 145,524 201,004 162,324 265,740 503,028 790,992 1,480,688 1,733,392 1,654,784 1,687,450 1,451,300 1,840,156 1,380,124 1,064,780 1,171,300 1,781,636 — unresolved within range

Continued fraction of √n

√180,172 = [424; (2, 7, 77, 23, 1, 1, 3, 6, 1, 2, 1, 2, 1, 1, 3, 1, 1, 9, 1, 11, 2, 1, 1, 20, …)]

Representations

In words
one hundred eighty thousand one hundred seventy-two
Ordinal
180172nd
Binary
101011111111001100
Octal
537714
Hexadecimal
0x2BFCC
Base64
Ar/M
One's complement
4,294,787,123 (32-bit)
Scientific notation
1.80172 × 10⁵
As a duration
180,172 s = 2 days, 2 hours, 2 minutes, 52 seconds
In other bases
ternary (3) 100011011001
quaternary (4) 223333030
quinary (5) 21231142
senary (6) 3510044
septenary (7) 1350166
nonary (9) 304131
undecimal (11) 113403
duodecimal (12) 88324
tridecimal (13) 64015
tetradecimal (14) 49936
pentadecimal (15) 385b7

As an angle

180,172° = 500 × 360° + 172°
172° ≈ 3.002 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρπροβʹ
Chinese
一十八萬零一百七十二
Chinese (financial)
壹拾捌萬零壹佰柒拾貳
In other modern scripts
Eastern Arabic ١٨٠١٧٢ Devanagari १८०१७२ Bengali ১৮০১৭২ Tamil ௧௮௦௧௭௨ Thai ๑๘๐๑๗๒ Tibetan ༡༨༠༡༧༢ Khmer ១៨០១៧២ Lao ໑໘໐໑໗໒ Burmese ၁၈၀၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180172, here are decompositions:

  • 11 + 180161 = 180172
  • 101 + 180071 = 180172
  • 149 + 180023 = 180172
  • 173 + 179999 = 180172
  • 191 + 179981 = 180172
  • 233 + 179939 = 180172
  • 263 + 179909 = 180172
  • 269 + 179903 = 180172

Showing the first eight; more decompositions exist.

Unicode codepoint
𫿌
CJK Unified Ideograph-2Bfcc
U+2BFCC
Other letter (Lo)

UTF-8 encoding: F0 AB BF 8C (4 bytes).

Hex color
#02BFCC
RGB(2, 191, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.191.204.

Address
0.2.191.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.191.204

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 180,172 and was likely granted around 1875.

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

Related reading

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