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167,988

167,988 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.).

167,988 (one hundred sixty-seven thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 13,999. Its proper divisors sum to 224,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29034.

Abundant Number Cube-Free Evil Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
39
Digit product
24,192
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
889,761
Square (n²)
28,219,968,144
Cube (n³)
4,740,616,008,574,272
Divisor count
12
σ(n) — sum of divisors
392,000
φ(n) — Euler's totient
55,992
Sum of prime factors
14,006

Primality

Prime factorization: 2 2 × 3 × 13999

Nearest primes: 167,987 (−1) · 168,013 (+25)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 13999 · 27998 · 41997 · 55996 · 83994 (half) · 167988
Aliquot sum (sum of proper divisors): 224,012
Factor pairs (a × b = 167,988)
1 × 167988
2 × 83994
3 × 55996
4 × 41997
6 × 27998
12 × 13999
First multiples
167,988 · 335,976 (double) · 503,964 · 671,952 · 839,940 · 1,007,928 · 1,175,916 · 1,343,904 · 1,511,892 · 1,679,880

Sums & aliquot sequence

As consecutive integers: 55,995 + 55,996 + 55,997 20,995 + 20,996 + … + 21,002 6,988 + 6,989 + … + 7,011
Aliquot sequence: 167,988 224,012 168,016 157,546 85,274 60,934 30,470 29,578 16,790 15,178 7,592 7,948 5,968 5,626 3,194 1,600 2,337 — unresolved within range

Continued fraction of √n

√167,988 = [409; (1, 6, 3, 8, 7, 1, 1, 5, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 1, 1, 272, 1, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-seven thousand nine hundred eighty-eight
Ordinal
167988th
Binary
101001000000110100
Octal
510064
Hexadecimal
0x29034
Base64
ApA0
One's complement
4,294,799,307 (32-bit)
Scientific notation
1.67988 × 10⁵
As a duration
167,988 s = 1 day, 22 hours, 39 minutes, 48 seconds
In other bases
ternary (3) 22112102210
quaternary (4) 221000310
quinary (5) 20333423
senary (6) 3333420
septenary (7) 1266522
nonary (9) 275383
undecimal (11) 105237
duodecimal (12) 81270
tridecimal (13) 5b602
tetradecimal (14) 45312
pentadecimal (15) 34b93

As an angle

167,988° = 466 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξζϡπηʹ
Chinese
一十六萬七千九百八十八
Chinese (financial)
壹拾陸萬柒仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ١٦٧٩٨٨ Devanagari १६७९८८ Bengali ১৬৭৯৮৮ Tamil ௧௬௭௯௮௮ Thai ๑๖๗๙๘๘ Tibetan ༡༦༧༩༨༨ Khmer ១៦៧៩៨៨ Lao ໑໖໗໙໘໘ Burmese ၁၆၇၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167988, here are decompositions:

  • 17 + 167971 = 167988
  • 71 + 167917 = 167988
  • 89 + 167899 = 167988
  • 97 + 167891 = 167988
  • 101 + 167887 = 167988
  • 109 + 167879 = 167988
  • 127 + 167861 = 167988
  • 179 + 167809 = 167988

Showing the first eight; more decompositions exist.

Unicode codepoint
𩀴
CJK Unified Ideograph-29034
U+29034
Other letter (Lo)

UTF-8 encoding: F0 A9 80 B4 (4 bytes).

Hex color
#029034
RGB(2, 144, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.144.52.

Address
0.2.144.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.144.52

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 167,988 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 167988 first appears in π at position 293,501 of the decimal expansion (the 293,501ordinal-suffix:st 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°.