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165,988

165,988 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.).

165,988 (one hundred sixty-five thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 2,441. Written other ways, in hexadecimal, 0x28864.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
37
Digit product
17,280
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
889,561
Recamán's sequence
a(196,016) = 165,988
Square (n²)
27,552,016,144
Cube (n³)
4,573,304,055,710,272
Divisor count
12
σ(n) — sum of divisors
307,692
φ(n) — Euler's totient
78,080
Sum of prime factors
2,462

Primality

Prime factorization: 2 2 × 17 × 2441

Nearest primes: 165,983 (−5) · 166,013 (+25)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 17 · 34 · 68 · 2441 · 4882 · 9764 · 41497 · 82994 (half) · 165988
Aliquot sum (sum of proper divisors): 141,704
Factor pairs (a × b = 165,988)
1 × 165988
2 × 82994
4 × 41497
17 × 9764
34 × 4882
68 × 2441
First multiples
165,988 · 331,976 (double) · 497,964 · 663,952 · 829,940 · 995,928 · 1,161,916 · 1,327,904 · 1,493,892 · 1,659,880

Sums & aliquot sequence

As a sum of two squares: 152² + 378² = 262² + 312²
As consecutive integers: 20,745 + 20,746 + … + 20,752 9,756 + 9,757 + … + 9,772 1,153 + 1,154 + … + 1,288
Aliquot sequence: 165,988 141,704 124,006 62,006 47,818 23,912 29,098 14,552 14,608 16,640 26,284 19,720 28,880 41,986 30,014 16,186 8,096 — unresolved within range

Continued fraction of √n

√165,988 = [407; (2, 2, 2, 16, 4, 1, 2, 2, 1, 1, 1, 2, 5, 62, 2, 38, 3, 3, 1, 1, 1, 38, 6, 6, …)]

Representations

In words
one hundred sixty-five thousand nine hundred eighty-eight
Ordinal
165988th
Binary
101000100001100100
Octal
504144
Hexadecimal
0x28864
Base64
Aohk
One's complement
4,294,801,307 (32-bit)
Scientific notation
1.65988 × 10⁵
As a duration
165,988 s = 1 day, 22 hours, 6 minutes, 28 seconds
In other bases
ternary (3) 22102200201
quaternary (4) 220201210
quinary (5) 20302423
senary (6) 3320244
septenary (7) 1260634
nonary (9) 272621
undecimal (11) 103789
duodecimal (12) 80084
tridecimal (13) 5a724
tetradecimal (14) 446c4
pentadecimal (15) 342ad

As an angle

165,988° = 461 × 360° + 28°
28° ≈ 0.489 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξεϡπηʹ
Chinese
一十六萬五千九百八十八
Chinese (financial)
壹拾陸萬伍仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ١٦٥٩٨٨ Devanagari १६५९८८ Bengali ১৬৫৯৮৮ Tamil ௧௬௫௯௮௮ Thai ๑๖๕๙๘๘ Tibetan ༡༦༥༩༨༨ Khmer ១៦៥៩៨៨ Lao ໑໖໕໙໘໘ Burmese ၁၆၅၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165988, here are decompositions:

  • 5 + 165983 = 165988
  • 41 + 165947 = 165988
  • 47 + 165941 = 165988
  • 101 + 165887 = 165988
  • 131 + 165857 = 165988
  • 239 + 165749 = 165988
  • 269 + 165719 = 165988
  • 281 + 165707 = 165988

Showing the first eight; more decompositions exist.

Unicode codepoint
𨡤
CJK Unified Ideograph-28864
U+28864
Other letter (Lo)

UTF-8 encoding: F0 A8 A1 A4 (4 bytes).

Hex color
#028864
RGB(2, 136, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.136.100.

Address
0.2.136.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.136.100

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 165,988 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 165988 first appears in π at position 524,450 of the decimal expansion (the 524,450ordinal-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°.