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167,992

167,992 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.).

167,992 (one hundred sixty-seven thousand nine hundred ninety-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 23 × 83. Its proper divisors sum to 194,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29038.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
34
Digit product
6,804
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
299,761
Square (n²)
28,221,312,064
Cube (n³)
4,740,954,656,255,488
Divisor count
32
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
72,160
Sum of prime factors
123

Primality

Prime factorization: 2 3 × 11 × 23 × 83

Nearest primes: 167,987 (−5) · 168,013 (+21)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 11 · 22 · 23 · 44 · 46 · 83 · 88 · 92 · 166 · 184 · 253 · 332 · 506 · 664 · 913 · 1012 · 1826 · 1909 · 2024 · 3652 · 3818 · 7304 · 7636 · 15272 · 20999 · 41998 · 83996 (half) · 167992
Aliquot sum (sum of proper divisors): 194,888
Factor pairs (a × b = 167,992)
1 × 167992
2 × 83996
4 × 41998
8 × 20999
11 × 15272
22 × 7636
23 × 7304
44 × 3818
46 × 3652
83 × 2024
88 × 1909
92 × 1826
166 × 1012
184 × 913
253 × 664
332 × 506
First multiples
167,992 · 335,984 (double) · 503,976 · 671,968 · 839,960 · 1,007,952 · 1,175,944 · 1,343,936 · 1,511,928 · 1,679,920

Sums & aliquot sequence

As consecutive integers: 15,267 + 15,268 + … + 15,277 10,492 + 10,493 + … + 10,507 7,293 + 7,294 + … + 7,315 1,983 + 1,984 + … + 2,065
Aliquot sequence: 167,992 194,888 192,292 144,226 78,074 40,486 22,298 11,152 12,284 10,060 11,108 8,338 5,342 2,674 1,934 970 794 — unresolved within range

Continued fraction of √n

√167,992 = [409; (1, 6, 1, 1, 2, 4, 4, 4, 2, 1, 1, 6, 1, 818)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-seven thousand nine hundred ninety-two
Ordinal
167992nd
Binary
101001000000111000
Octal
510070
Hexadecimal
0x29038
Base64
ApA4
One's complement
4,294,799,303 (32-bit)
Scientific notation
1.67992 × 10⁵
As a duration
167,992 s = 1 day, 22 hours, 39 minutes, 52 seconds
In other bases
ternary (3) 22112102221
quaternary (4) 221000320
quinary (5) 20333432
senary (6) 3333424
septenary (7) 1266526
nonary (9) 275387
undecimal (11) 105240
duodecimal (12) 81274
tridecimal (13) 5b606
tetradecimal (14) 45316
pentadecimal (15) 34b97

As an angle

167,992° = 466 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξζϡϟβʹ
Chinese
一十六萬七千九百九十二
Chinese (financial)
壹拾陸萬柒仟玖佰玖拾貳
In other modern scripts
Eastern Arabic ١٦٧٩٩٢ Devanagari १६७९९२ Bengali ১৬৭৯৯২ Tamil ௧௬௭௯௯௨ Thai ๑๖๗๙๙๒ Tibetan ༡༦༧༩༩༢ Khmer ១៦៧៩៩២ Lao ໑໖໗໙໙໒ Burmese ၁၆၇၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167992, here are decompositions:

  • 5 + 167987 = 167992
  • 101 + 167891 = 167992
  • 113 + 167879 = 167992
  • 131 + 167861 = 167992
  • 191 + 167801 = 167992
  • 233 + 167759 = 167992
  • 263 + 167729 = 167992
  • 281 + 167711 = 167992

Showing the first eight; more decompositions exist.

Unicode codepoint
𩀸
CJK Unified Ideograph-29038
U+29038
Other letter (Lo)

UTF-8 encoding: F0 A9 80 B8 (4 bytes).

Hex color
#029038
RGB(2, 144, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.144.56.

Address
0.2.144.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.144.56

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 167,992 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°.