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135,172

135,172 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.).

135,172 (one hundred thirty-five thousand one hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 47 × 719. Written other ways, in hexadecimal, 0x21004.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
210
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
271,531
Square (n²)
18,271,469,584
Cube (n³)
2,469,791,086,608,448
Divisor count
12
σ(n) — sum of divisors
241,920
φ(n) — Euler's totient
66,056
Sum of prime factors
770

Primality

Prime factorization: 2 2 × 47 × 719

Nearest primes: 135,151 (−21) · 135,173 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 47 · 94 · 188 · 719 · 1438 · 2876 · 33793 · 67586 (half) · 135172
Aliquot sum (sum of proper divisors): 106,748
Factor pairs (a × b = 135,172)
1 × 135172
2 × 67586
4 × 33793
47 × 2876
94 × 1438
188 × 719
First multiples
135,172 · 270,344 (double) · 405,516 · 540,688 · 675,860 · 811,032 · 946,204 · 1,081,376 · 1,216,548 · 1,351,720

Sums & aliquot sequence

As consecutive integers: 16,893 + 16,894 + … + 16,900 2,853 + 2,854 + … + 2,899 172 + 173 + … + 547
Aliquot sequence: 135,172 106,748 80,068 64,104 96,216 158,184 305,916 498,468 664,652 512,188 384,148 293,984 284,860 313,388 235,048 245,912 223,888 — unresolved within range

Continued fraction of √n

√135,172 = [367; (1, 1, 1, 11, 2, 1, 1, 2, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 4, 1, 14, 1, 4, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand one hundred seventy-two
Ordinal
135172nd
Binary
100001000000000100
Octal
410004
Hexadecimal
0x21004
Base64
AhAE
One's complement
4,294,832,123 (32-bit)
Scientific notation
1.35172 × 10⁵
As a duration
135,172 s = 1 day, 13 hours, 32 minutes, 52 seconds
In other bases
ternary (3) 20212102101
quaternary (4) 201000010
quinary (5) 13311142
senary (6) 2521444
septenary (7) 1102042
nonary (9) 225371
undecimal (11) 92614
duodecimal (12) 66284
tridecimal (13) 496ab
tetradecimal (14) 37392
pentadecimal (15) 2a0b7

As an angle

135,172° = 375 × 360° + 172°
172° ≈ 3.002 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεροβʹ
Mayan (base 20)
𝋰·𝋱·𝋲·𝋬
Chinese
一十三萬五千一百七十二
Chinese (financial)
壹拾參萬伍仟壹佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٥١٧٢ Devanagari १३५१७२ Bengali ১৩৫১৭২ Tamil ௧௩௫௧௭௨ Thai ๑๓๕๑๗๒ Tibetan ༡༣༥༡༧༢ Khmer ១៣៥១៧២ Lao ໑໓໕໑໗໒ Burmese ၁၃၅၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135172, here are decompositions:

  • 41 + 135131 = 135172
  • 53 + 135119 = 135172
  • 71 + 135101 = 135172
  • 83 + 135089 = 135172
  • 113 + 135059 = 135172
  • 173 + 134999 = 135172
  • 251 + 134921 = 135172
  • 263 + 134909 = 135172

Showing the first eight; more decompositions exist.

Unicode codepoint
𡀄
CJK Unified Ideograph-21004
U+21004
Other letter (Lo)

UTF-8 encoding: F0 A1 80 84 (4 bytes).

Hex color
#021004
RGB(2, 16, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.4.

Address
0.2.16.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.4

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 135,172 and was likely granted around 1872.

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

Related reading