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165,376

165,376 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.).

165,376 (one hundred sixty-five thousand three hundred seventy-six) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 17 × 19. Its proper divisors sum to 202,904, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28600.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
3,780
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
673,561
Square (n²)
27,349,221,376
Cube (n³)
4,522,904,834,277,376
Divisor count
40
σ(n) — sum of divisors
368,280
φ(n) — Euler's totient
73,728
Sum of prime factors
54

Primality

Prime factorization: 2 9 × 17 × 19

Nearest primes: 165,367 (−9) · 165,379 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 16 · 17 · 19 · 32 · 34 · 38 · 64 · 68 · 76 · 128 · 136 · 152 · 256 · 272 · 304 · 323 · 512 · 544 · 608 · 646 · 1088 · 1216 · 1292 · 2176 · 2432 · 2584 · 4352 · 4864 · 5168 · 8704 · 9728 · 10336 · 20672 · 41344 · 82688 (half) · 165376
Aliquot sum (sum of proper divisors): 202,904
Factor pairs (a × b = 165,376)
1 × 165376
2 × 82688
4 × 41344
8 × 20672
16 × 10336
17 × 9728
19 × 8704
32 × 5168
34 × 4864
38 × 4352
64 × 2584
68 × 2432
76 × 2176
128 × 1292
136 × 1216
152 × 1088
256 × 646
272 × 608
304 × 544
323 × 512
First multiples
165,376 · 330,752 (double) · 496,128 · 661,504 · 826,880 · 992,256 · 1,157,632 · 1,323,008 · 1,488,384 · 1,653,760

Sums & aliquot sequence

As consecutive integers: 9,720 + 9,721 + … + 9,736 8,695 + 8,696 + … + 8,713 351 + 352 + … + 673
Aliquot sequence: 165,376 202,904 207,016 186,284 186,340 305,564 316,876 316,932 624,204 1,179,780 2,668,092 4,761,540 11,749,500 30,724,932 51,208,444 53,978,596 56,184,604 — unresolved within range

Continued fraction of √n

√165,376 = [406; (1, 1, 1, 50, 6, 203, 6, 50, 1, 1, 1, 812)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-five thousand three hundred seventy-six
Ordinal
165376th
Binary
101000011000000000
Octal
503000
Hexadecimal
0x28600
Base64
AoYA
One's complement
4,294,801,919 (32-bit)
Scientific notation
1.65376 × 10⁵
As a duration
165,376 s = 1 day, 21 hours, 56 minutes, 16 seconds
In other bases
ternary (3) 22101212001
quaternary (4) 220120000
quinary (5) 20243001
senary (6) 3313344
septenary (7) 1256101
nonary (9) 271761
undecimal (11) 103282
duodecimal (12) 7b854
tridecimal (13) 5a373
tetradecimal (14) 443a8
pentadecimal (15) 34001

As an angle

165,376° = 459 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξετοϛʹ
Chinese
一十六萬五千三百七十六
Chinese (financial)
壹拾陸萬伍仟參佰柒拾陸
In other modern scripts
Eastern Arabic ١٦٥٣٧٦ Devanagari १६५३७६ Bengali ১৬৫৩৭৬ Tamil ௧௬௫௩௭௬ Thai ๑๖๕๓๗๖ Tibetan ༡༦༥༣༧༦ Khmer ១៦៥៣៧៦ Lao ໑໖໕໓໗໖ Burmese ၁၆၅၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165376, here are decompositions:

  • 59 + 165317 = 165376
  • 83 + 165293 = 165376
  • 89 + 165287 = 165376
  • 173 + 165203 = 165376
  • 293 + 165083 = 165376
  • 317 + 165059 = 165376
  • 389 + 164987 = 165376
  • 587 + 164789 = 165376

Showing the first eight; more decompositions exist.

Unicode codepoint
𨘀
CJK Unified Ideograph-28600
U+28600
Other letter (Lo)

UTF-8 encoding: F0 A8 98 80 (4 bytes).

Hex color
#028600
RGB(2, 134, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.134.0.

Address
0.2.134.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.134.0

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 165,376 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 165376 first appears in π at position 718,579 of the decimal expansion (the 718,579ordinal-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°.