number.wiki
Live analysis

164,042

164,042 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.).

164,042 (one hundred sixty-four thousand forty-two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 82,021. Written other ways, in hexadecimal, 0x280CA.

Cube-Free Deficient Number Evil Number Self Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
240,461
Square (n²)
26,909,777,764
Cube (n³)
4,414,333,763,962,088
Divisor count
4
σ(n) — sum of divisors
246,066
φ(n) — Euler's totient
82,020
Sum of prime factors
82,023

Primality

Prime factorization: 2 × 82021

Nearest primes: 164,039 (−3) · 164,051 (+9)

Divisors & multiples

All divisors (4)
1 · 2 · 82021 (half) · 164042
Aliquot sum (sum of proper divisors): 82,024
Factor pairs (a × b = 164,042)
1 × 164042
2 × 82021
First multiples
164,042 · 328,084 (double) · 492,126 · 656,168 · 820,210 · 984,252 · 1,148,294 · 1,312,336 · 1,476,378 · 1,640,420

Sums & aliquot sequence

As a sum of two squares: 271² + 301²
As consecutive integers: 41,009 + 41,010 + 41,011 + 41,012
Aliquot sequence: 164,042 82,024 71,786 55,222 27,614 13,810 11,066 7,078 3,542 3,370 2,714 1,606 1,058 601 1 0 — terminates at zero

Continued fraction of √n

√164,042 = [405; (47, 1, 1, 1, 5, 2, 1, 1, 1, 2, 11, 35, 7, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 7, …)]

Period length 37 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand forty-two
Ordinal
164042nd
Binary
101000000011001010
Octal
500312
Hexadecimal
0x280CA
Base64
AoDK
One's complement
4,294,803,253 (32-bit)
Scientific notation
1.64042 × 10⁵
As a duration
164,042 s = 1 day, 21 hours, 34 minutes, 2 seconds
In other bases
ternary (3) 22100000122
quaternary (4) 220003022
quinary (5) 20222132
senary (6) 3303242
septenary (7) 1252154
nonary (9) 270018
undecimal (11) 10227a
duodecimal (12) 7ab22
tridecimal (13) 59888
tetradecimal (14) 43ad4
pentadecimal (15) 33912
Palindromic in base 3

As an angle

164,042° = 455 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξδμβʹ
Chinese
一十六萬四千零四十二
Chinese (financial)
壹拾陸萬肆仟零肆拾貳
In other modern scripts
Eastern Arabic ١٦٤٠٤٢ Devanagari १६४०४२ Bengali ১৬৪০৪২ Tamil ௧௬௪௦௪௨ Thai ๑๖๔๐๔๒ Tibetan ༡༦༤༠༤༢ Khmer ១៦៤០៤២ Lao ໑໖໔໐໔໒ Burmese ၁၆၄၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164042, here are decompositions:

  • 3 + 164039 = 164042
  • 19 + 164023 = 164042
  • 31 + 164011 = 164042
  • 61 + 163981 = 164042
  • 181 + 163861 = 164042
  • 223 + 163819 = 164042
  • 271 + 163771 = 164042
  • 313 + 163729 = 164042

Showing the first eight; more decompositions exist.

Unicode codepoint
𨃊
CJK Unified Ideograph-280Ca
U+280CA
Other letter (Lo)

UTF-8 encoding: F0 A8 83 8A (4 bytes).

Hex color
#0280CA
RGB(2, 128, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.128.202.

Address
0.2.128.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.128.202

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 164,042 and was likely granted around 1874.

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

Position in π

The digit sequence 164042 first appears in π at position 367,483 of the decimal expansion (the 367,483ordinal-suffix:rd 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°.