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168,042

168,042 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.).

168,042 (one hundred sixty-eight thousand forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 4,001. Its proper divisors sum to 216,150, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2906A.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
240,861
Square (n²)
28,238,113,764
Cube (n³)
4,745,189,113,130,088
Divisor count
16
σ(n) — sum of divisors
384,192
φ(n) — Euler's totient
48,000
Sum of prime factors
4,013

Primality

Prime factorization: 2 × 3 × 7 × 4001

Nearest primes: 168,037 (−5) · 168,043 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 4001 · 8002 · 12003 · 24006 · 28007 · 56014 · 84021 (half) · 168042
Aliquot sum (sum of proper divisors): 216,150
Factor pairs (a × b = 168,042)
1 × 168042
2 × 84021
3 × 56014
6 × 28007
7 × 24006
14 × 12003
21 × 8002
42 × 4001
First multiples
168,042 · 336,084 (double) · 504,126 · 672,168 · 840,210 · 1,008,252 · 1,176,294 · 1,344,336 · 1,512,378 · 1,680,420

Sums & aliquot sequence

As consecutive integers: 56,013 + 56,014 + 56,015 42,009 + 42,010 + 42,011 + 42,012 24,003 + 24,004 + … + 24,009 13,998 + 13,999 + … + 14,009
Aliquot sequence: 168,042 216,150 373,098 441,078 550,794 578,166 586,938 693,798 892,122 1,333,542 1,714,650 3,427,878 3,451,722 3,473,238 3,839,082 4,543,446 4,543,458 — unresolved within range

Continued fraction of √n

√168,042 = [409; (1, 13, 7, 3, 5, 1, 1, 1, 1, 1, 6, 10, 4, 2, 2, 6, 21, 2, 2, 1, 1, 2, 5, 1, …)]

Representations

In words
one hundred sixty-eight thousand forty-two
Ordinal
168042nd
Binary
101001000001101010
Octal
510152
Hexadecimal
0x2906A
Base64
ApBq
One's complement
4,294,799,253 (32-bit)
Scientific notation
1.68042 × 10⁵
As a duration
168,042 s = 1 day, 22 hours, 40 minutes, 42 seconds
In other bases
ternary (3) 22112111210
quaternary (4) 221001222
quinary (5) 20334132
senary (6) 3333550
septenary (7) 1266630
nonary (9) 275453
undecimal (11) 105286
duodecimal (12) 812b6
tridecimal (13) 5b644
tetradecimal (14) 45350
pentadecimal (15) 34bcc

As an angle

168,042° = 466 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξημβʹ
Chinese
一十六萬八千零四十二
Chinese (financial)
壹拾陸萬捌仟零肆拾貳
In other modern scripts
Eastern Arabic ١٦٨٠٤٢ Devanagari १६८०४२ Bengali ১৬৮০৪২ Tamil ௧௬௮௦௪௨ Thai ๑๖๘๐๔๒ Tibetan ༡༦༨༠༤༢ Khmer ១៦៨០៤២ Lao ໑໖໘໐໔໒ Burmese ၁၆၈၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 168042, here are decompositions:

  • 5 + 168037 = 168042
  • 13 + 168029 = 168042
  • 19 + 168023 = 168042
  • 29 + 168013 = 168042
  • 71 + 167971 = 168042
  • 89 + 167953 = 168042
  • 131 + 167911 = 168042
  • 151 + 167891 = 168042

Showing the first eight; more decompositions exist.

Unicode codepoint
𩁪
CJK Unified Ideograph-2906A
U+2906A
Other letter (Lo)

UTF-8 encoding: F0 A9 81 AA (4 bytes).

Hex color
#02906A
RGB(2, 144, 106)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.144.106.

Address
0.2.144.106
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.144.106

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 168,042 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 168042 first appears in π at position 380,513 of the decimal expansion (the 380,513ordinal-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°.