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122,172

122,172 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.).

122,172 (one hundred twenty-two thousand one hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 10,181. Its proper divisors sum to 162,924, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD3C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
56
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
271,221
Square (n²)
14,925,997,584
Cube (n³)
1,823,538,976,832,448
Divisor count
12
σ(n) — sum of divisors
285,096
φ(n) — Euler's totient
40,720
Sum of prime factors
10,188

Primality

Prime factorization: 2 2 × 3 × 10181

Nearest primes: 122,167 (−5) · 122,173 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 10181 · 20362 · 30543 · 40724 · 61086 (half) · 122172
Aliquot sum (sum of proper divisors): 162,924
Factor pairs (a × b = 122,172)
1 × 122172
2 × 61086
3 × 40724
4 × 30543
6 × 20362
12 × 10181
First multiples
122,172 · 244,344 (double) · 366,516 · 488,688 · 610,860 · 733,032 · 855,204 · 977,376 · 1,099,548 · 1,221,720

Sums & aliquot sequence

As consecutive integers: 40,723 + 40,724 + 40,725 15,268 + 15,269 + … + 15,275 5,079 + 5,080 + … + 5,102
Aliquot sequence: 122,172 162,924 217,260 490,356 777,456 1,398,744 2,389,716 5,002,284 9,706,452 16,177,644 33,066,936 69,284,664 118,823,256 203,956,344 380,921,976 653,685,624 1,120,627,176 — unresolved within range

Continued fraction of √n

√122,172 = [349; (1, 1, 7, 1, 1, 6, 1, 2, 12, 7, 2, 3, 2, 1, 1, 7, 1, 2, 1, 2, 1, 4, 1, 2, …)]

Representations

In words
one hundred twenty-two thousand one hundred seventy-two
Ordinal
122172nd
Binary
11101110100111100
Octal
356474
Hexadecimal
0x1DD3C
Base64
Ad08
One's complement
4,294,845,123 (32-bit)
Scientific notation
1.22172 × 10⁵
As a duration
122,172 s = 1 day, 9 hours, 56 minutes, 12 seconds
In other bases
ternary (3) 20012120220
quaternary (4) 131310330
quinary (5) 12402142
senary (6) 2341340
septenary (7) 1016121
nonary (9) 205526
undecimal (11) 83876
duodecimal (12) 5a850
tridecimal (13) 437bb
tetradecimal (14) 32748
pentadecimal (15) 262ec

As an angle

122,172° = 339 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκβροβʹ
Mayan (base 20)
𝋯·𝋥·𝋨·𝋬
Chinese
一十二萬二千一百七十二
Chinese (financial)
壹拾貳萬貳仟壹佰柒拾貳
In other modern scripts
Eastern Arabic ١٢٢١٧٢ Devanagari १२२१७२ Bengali ১২২১৭২ Tamil ௧௨௨௧௭௨ Thai ๑๒๒๑๗๒ Tibetan ༡༢༢༡༧༢ Khmer ១២២១៧២ Lao ໑໒໒໑໗໒ Burmese ၁၂၂၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122172, here are decompositions:

  • 5 + 122167 = 122172
  • 23 + 122149 = 122172
  • 41 + 122131 = 122172
  • 73 + 122099 = 122172
  • 103 + 122069 = 122172
  • 131 + 122041 = 122172
  • 139 + 122033 = 122172
  • 151 + 122021 = 122172

Showing the first eight; more decompositions exist.

Hex color
#01DD3C
RGB(1, 221, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.60.

Address
0.1.221.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.60

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 122,172 and was likely granted around 1871.

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

Position in π

The digit sequence 122172 first appears in π at position 442,459 of the decimal expansion (the 442,459ordinal-suffix:th 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°.