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165,672

165,672 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.).

165,672 (one hundred sixty-five thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 13 × 59. Its proper divisors sum to 338,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28728.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,520
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
276,561
Square (n²)
27,447,211,584
Cube (n³)
4,547,234,437,544,448
Divisor count
64
σ(n) — sum of divisors
504,000
φ(n) — Euler's totient
50,112
Sum of prime factors
87

Primality

Prime factorization: 2 3 × 3 3 × 13 × 59

Nearest primes: 165,667 (−5) · 165,673 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 24 · 26 · 27 · 36 · 39 · 52 · 54 · 59 · 72 · 78 · 104 · 108 · 117 · 118 · 156 · 177 · 216 · 234 · 236 · 312 · 351 · 354 · 468 · 472 · 531 · 702 · 708 · 767 · 936 · 1062 · 1404 · 1416 · 1534 · 1593 · 2124 · 2301 · 2808 · 3068 · 3186 · 4248 · 4602 · 6136 · 6372 · 6903 · 9204 · 12744 · 13806 · 18408 · 20709 · 27612 · 41418 · 55224 · 82836 (half) · 165672
Aliquot sum (sum of proper divisors): 338,328
Factor pairs (a × b = 165,672)
1 × 165672
2 × 82836
3 × 55224
4 × 41418
6 × 27612
8 × 20709
9 × 18408
12 × 13806
13 × 12744
18 × 9204
24 × 6903
26 × 6372
27 × 6136
36 × 4602
39 × 4248
52 × 3186
54 × 3068
59 × 2808
72 × 2301
78 × 2124
104 × 1593
108 × 1534
117 × 1416
118 × 1404
156 × 1062
177 × 936
216 × 767
234 × 708
236 × 702
312 × 531
351 × 472
354 × 468
First multiples
165,672 · 331,344 (double) · 497,016 · 662,688 · 828,360 · 994,032 · 1,159,704 · 1,325,376 · 1,491,048 · 1,656,720

Sums & aliquot sequence

As consecutive integers: 55,223 + 55,224 + 55,225 18,404 + 18,405 + … + 18,412 12,738 + 12,739 + … + 12,750 10,347 + 10,348 + … + 10,362
Aliquot sequence: 165,672 338,328 610,152 915,288 1,581,672 2,443,128 3,664,752 8,001,168 15,622,320 43,088,208 68,223,120 173,487,600 535,914,912 1,082,167,008 1,977,039,408 3,130,312,520 3,912,890,740 — unresolved within range

Continued fraction of √n

√165,672 = [407; (35, 2, 1, 1, 4, 1, 3, 8, 1, 89, 1, 1, 3, 1, 3, 6, 2, 6, 3, 1, 3, 1, 1, 89, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-five thousand six hundred seventy-two
Ordinal
165672nd
Binary
101000011100101000
Octal
503450
Hexadecimal
0x28728
Base64
Aoco
One's complement
4,294,801,623 (32-bit)
Scientific notation
1.65672 × 10⁵
As a duration
165,672 s = 1 day, 22 hours, 1 minute, 12 seconds
In other bases
ternary (3) 22102021000
quaternary (4) 220130220
quinary (5) 20300142
senary (6) 3315000
septenary (7) 1260003
nonary (9) 272230
undecimal (11) 103521
duodecimal (12) 7ba60
tridecimal (13) 5a540
tetradecimal (14) 4453a
pentadecimal (15) 3414c

As an angle

165,672° = 460 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξεχοβʹ
Chinese
一十六萬五千六百七十二
Chinese (financial)
壹拾陸萬伍仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٦٥٦٧٢ Devanagari १६५६७२ Bengali ১৬৫৬৭২ Tamil ௧௬௫௬௭௨ Thai ๑๖๕๖๗๒ Tibetan ༡༦༥༦༧༢ Khmer ១៦៥៦៧២ Lao ໑໖໕໖໗໒ Burmese ၁၆၅၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165672, here are decompositions:

  • 5 + 165667 = 165672
  • 19 + 165653 = 165672
  • 61 + 165611 = 165672
  • 71 + 165601 = 165672
  • 83 + 165589 = 165672
  • 103 + 165569 = 165672
  • 113 + 165559 = 165672
  • 131 + 165541 = 165672

Showing the first eight; more decompositions exist.

Unicode codepoint
𨜨
CJK Unified Ideograph-28728
U+28728
Other letter (Lo)

UTF-8 encoding: F0 A8 9C A8 (4 bytes).

Hex color
#028728
RGB(2, 135, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.135.40.

Address
0.2.135.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.135.40

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 165,672 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 165672 first appears in π at position 67,700 of the decimal expansion (the 67,700ordinal-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°.