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172,042

172,042 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.).

172,042 (one hundred seventy-two thousand forty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 13² × 509. Written other ways, in hexadecimal, 0x2A00A.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
240,271
Recamán's sequence
a(191,680) = 172,042
Square (n²)
29,598,449,764
Cube (n³)
5,092,176,494,298,088
Divisor count
12
σ(n) — sum of divisors
279,990
φ(n) — Euler's totient
79,248
Sum of prime factors
537

Primality

Prime factorization: 2 × 13 2 × 509

Nearest primes: 172,031 (−11) · 172,049 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 13 · 26 · 169 · 338 · 509 · 1018 · 6617 · 13234 · 86021 (half) · 172042
Aliquot sum (sum of proper divisors): 107,948
Factor pairs (a × b = 172,042)
1 × 172042
2 × 86021
13 × 13234
26 × 6617
169 × 1018
338 × 509
First multiples
172,042 · 344,084 (double) · 516,126 · 688,168 · 860,210 · 1,032,252 · 1,204,294 · 1,376,336 · 1,548,378 · 1,720,420

Sums & aliquot sequence

As a sum of two squares: 69² + 409² = 221² + 351² = 239² + 339²
As consecutive integers: 43,009 + 43,010 + 43,011 + 43,012 13,228 + 13,229 + … + 13,240 3,283 + 3,284 + … + 3,334 934 + 935 + … + 1,102
Aliquot sequence: 172,042 107,948 80,968 76,532 67,486 36,338 18,172 22,148 23,338 16,694 9,874 4,940 6,820 9,308 8,332 6,256 7,136 — unresolved within range

Continued fraction of √n

√172,042 = [414; (1, 3, 1, 1, 6, 1, 3, 1, 1, 1, 91, 1, 1, 7, 1, 1, 4, 2, 1, 1, 1, 5, 1, 9, …)]

Representations

In words
one hundred seventy-two thousand forty-two
Ordinal
172042nd
Binary
101010000000001010
Octal
520012
Hexadecimal
0x2A00A
Base64
AqAK
One's complement
4,294,795,253 (32-bit)
Scientific notation
1.72042 × 10⁵
As a duration
172,042 s = 1 day, 23 hours, 47 minutes, 22 seconds
In other bases
ternary (3) 22201222221
quaternary (4) 222000022
quinary (5) 21001132
senary (6) 3404254
septenary (7) 1314403
nonary (9) 281887
undecimal (11) 108292
duodecimal (12) 8368a
tridecimal (13) 60400
tetradecimal (14) 469aa
pentadecimal (15) 35e97

As an angle

172,042° = 477 × 360° + 322°
322° ≈ 5.62 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ροβμβʹ
Chinese
一十七萬二千零四十二
Chinese (financial)
壹拾柒萬貳仟零肆拾貳
In other modern scripts
Eastern Arabic ١٧٢٠٤٢ Devanagari १७२०४२ Bengali ১৭২০৪২ Tamil ௧௭௨௦௪௨ Thai ๑๗๒๐๔๒ Tibetan ༡༧༢༠༤༢ Khmer ១៧២០៤២ Lao ໑໗໒໐໔໒ Burmese ၁၇၂၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172042, here are decompositions:

  • 11 + 172031 = 172042
  • 41 + 172001 = 172042
  • 113 + 171929 = 172042
  • 173 + 171869 = 172042
  • 179 + 171863 = 172042
  • 191 + 171851 = 172042
  • 239 + 171803 = 172042
  • 281 + 171761 = 172042

Showing the first eight; more decompositions exist.

Unicode codepoint
𪀊
CJK Unified Ideograph-2A00A
U+2A00A
Other letter (Lo)

UTF-8 encoding: F0 AA 80 8A (4 bytes).

Hex color
#02A00A
RGB(2, 160, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.160.10.

Address
0.2.160.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.160.10

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 172,042 and was likely granted around 1874.

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°.