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165,172

165,172 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.).

165,172 (one hundred sixty-five thousand one hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 17 × 347. Its proper divisors sum to 185,612, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28534.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
420
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
271,561
Square (n²)
27,281,789,584
Cube (n³)
4,506,187,749,168,448
Divisor count
24
σ(n) — sum of divisors
350,784
φ(n) — Euler's totient
66,432
Sum of prime factors
375

Primality

Prime factorization: 2 2 × 7 × 17 × 347

Nearest primes: 165,161 (−11) · 165,173 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 17 · 28 · 34 · 68 · 119 · 238 · 347 · 476 · 694 · 1388 · 2429 · 4858 · 5899 · 9716 · 11798 · 23596 · 41293 · 82586 (half) · 165172
Aliquot sum (sum of proper divisors): 185,612
Factor pairs (a × b = 165,172)
1 × 165172
2 × 82586
4 × 41293
7 × 23596
14 × 11798
17 × 9716
28 × 5899
34 × 4858
68 × 2429
119 × 1388
238 × 694
347 × 476
First multiples
165,172 · 330,344 (double) · 495,516 · 660,688 · 825,860 · 991,032 · 1,156,204 · 1,321,376 · 1,486,548 · 1,651,720

Sums & aliquot sequence

As consecutive integers: 23,593 + 23,594 + … + 23,599 20,643 + 20,644 + … + 20,650 9,708 + 9,709 + … + 9,724 2,922 + 2,923 + … + 2,977
Aliquot sequence: 165,172 185,612 192,640 345,920 531,904 523,720 654,740 793,420 872,804 760,156 593,084 460,780 506,900 631,048 690,872 934,168 893,912 — unresolved within range

Continued fraction of √n

√165,172 = [406; (2, 2, 2, 1, 1, 5, 17, 8, 1, 2, 6, 1, 41, 1, 10, 1, 41, 1, 6, 2, 1, 8, 17, 5, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-five thousand one hundred seventy-two
Ordinal
165172nd
Binary
101000010100110100
Octal
502464
Hexadecimal
0x28534
Base64
AoU0
One's complement
4,294,802,123 (32-bit)
Scientific notation
1.65172 × 10⁵
As a duration
165,172 s = 1 day, 21 hours, 52 minutes, 52 seconds
In other bases
ternary (3) 22101120111
quaternary (4) 220110310
quinary (5) 20241142
senary (6) 3312404
septenary (7) 1255360
nonary (9) 271514
undecimal (11) 103107
duodecimal (12) 7b704
tridecimal (13) 5a247
tetradecimal (14) 442a0
pentadecimal (15) 33e17

As an angle

165,172° = 458 × 360° + 292°
292° ≈ 5.096 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξεροβʹ
Chinese
一十六萬五千一百七十二
Chinese (financial)
壹拾陸萬伍仟壹佰柒拾貳
In other modern scripts
Eastern Arabic ١٦٥١٧٢ Devanagari १६५१७२ Bengali ১৬৫১৭২ Tamil ௧௬௫௧௭௨ Thai ๑๖๕๑๗๒ Tibetan ༡༦༥༡༧༢ Khmer ១៦៥១៧២ Lao ໑໖໕໑໗໒ Burmese ၁၆၅၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165172, here are decompositions:

  • 11 + 165161 = 165172
  • 83 + 165089 = 165172
  • 89 + 165083 = 165172
  • 113 + 165059 = 165172
  • 131 + 165041 = 165172
  • 173 + 164999 = 165172
  • 383 + 164789 = 165172
  • 401 + 164771 = 165172

Showing the first eight; more decompositions exist.

Unicode codepoint
𨔴
CJK Unified Ideograph-28534
U+28534
Other letter (Lo)

UTF-8 encoding: F0 A8 94 B4 (4 bytes).

Hex color
#028534
RGB(2, 133, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.133.52.

Address
0.2.133.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.133.52

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 165,172 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 165172 first appears in π at position 100,348 of the decimal expansion (the 100,348ordinal-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°.