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167,987

167,987 is a prime, odd.

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.).

167,987 (one hundred sixty-seven thousand nine hundred eighty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x29033.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
38
Digit product
21,168
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
789,761
Square (n²)
28,219,632,169
Cube (n³)
4,740,531,349,173,803
Divisor count
2
σ(n) — sum of divisors
167,988
φ(n) — Euler's totient
167,986

Primality

167,987 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 167987
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 167,987)
1 × 167987
First multiples
167,987 · 335,974 (double) · 503,961 · 671,948 · 839,935 · 1,007,922 · 1,175,909 · 1,343,896 · 1,511,883 · 1,679,870

Sums & aliquot sequence

As consecutive integers: 83,993 + 83,994

Continued fraction of √n

√167,987 = [409; (1, 6, 3, 1, 10, 1, 3, 1, 2, 4, 2, 1, 1, 1, 2, 8, 1, 4, 1, 7, 3, 2, 409, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-seven thousand nine hundred eighty-seven
Ordinal
167987th
Binary
101001000000110011
Octal
510063
Hexadecimal
0x29033
Base64
ApAz
One's complement
4,294,799,308 (32-bit)
Scientific notation
1.67987 × 10⁵
As a duration
167,987 s = 1 day, 22 hours, 39 minutes, 47 seconds
In other bases
ternary (3) 22112102202
quaternary (4) 221000303
quinary (5) 20333422
senary (6) 3333415
septenary (7) 1266521
nonary (9) 275382
undecimal (11) 105236
duodecimal (12) 8126b
tridecimal (13) 5b601
tetradecimal (14) 45311
pentadecimal (15) 34b92

As an angle

167,987° = 466 × 360° + 227°
227° ≈ 3.962 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξζϡπζʹ
Chinese
一十六萬七千九百八十七
Chinese (financial)
壹拾陸萬柒仟玖佰捌拾柒
In other modern scripts
Eastern Arabic ١٦٧٩٨٧ Devanagari १६७९८७ Bengali ১৬৭৯৮৭ Tamil ௧௬௭௯௮௭ Thai ๑๖๗๙๘๗ Tibetan ༡༦༧༩༨༧ Khmer ១៦៧៩៨៧ Lao ໑໖໗໙໘໗ Burmese ၁၆၇၉၈၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𩀳
CJK Unified Ideograph-29033
U+29033
Other letter (Lo)

UTF-8 encoding: F0 A9 80 B3 (4 bytes).

Hex color
#029033
RGB(2, 144, 51)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.144.51.

Address
0.2.144.51
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.144.51

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 167,987 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 167987 first appears in π at position 212,159 of the decimal expansion (the 212,159ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.