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172,360

172,360 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.).

172,360 (one hundred seventy-two thousand three hundred sixty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 31 × 139. Its proper divisors sum to 230,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A148.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
63,271
Recamán's sequence
a(191,044) = 172,360
Square (n²)
29,707,969,600
Cube (n³)
5,120,465,640,256,000
Divisor count
32
σ(n) — sum of divisors
403,200
φ(n) — Euler's totient
66,240
Sum of prime factors
181

Primality

Prime factorization: 2 3 × 5 × 31 × 139

Nearest primes: 172,357 (−3) · 172,373 (+13)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 31 · 40 · 62 · 124 · 139 · 155 · 248 · 278 · 310 · 556 · 620 · 695 · 1112 · 1240 · 1390 · 2780 · 4309 · 5560 · 8618 · 17236 · 21545 · 34472 · 43090 · 86180 (half) · 172360
Aliquot sum (sum of proper divisors): 230,840
Factor pairs (a × b = 172,360)
1 × 172360
2 × 86180
4 × 43090
5 × 34472
8 × 21545
10 × 17236
20 × 8618
31 × 5560
40 × 4309
62 × 2780
124 × 1390
139 × 1240
155 × 1112
248 × 695
278 × 620
310 × 556
First multiples
172,360 · 344,720 (double) · 517,080 · 689,440 · 861,800 · 1,034,160 · 1,206,520 · 1,378,880 · 1,551,240 · 1,723,600

Sums & aliquot sequence

As consecutive integers: 34,470 + 34,471 + 34,472 + 34,473 + 34,474 10,765 + 10,766 + … + 10,780 5,545 + 5,546 + … + 5,575 2,115 + 2,116 + … + 2,194
Aliquot sequence: 172,360 230,840 309,160 403,640 504,640 775,520 1,120,528 1,089,152 1,130,368 1,121,792 1,447,984 1,357,516 1,026,516 1,390,668 2,064,924 3,285,876 5,532,556 — unresolved within range

Continued fraction of √n

√172,360 = [415; (6, 6, 1, 2, 3, 1, 1, 19, 1, 2, 5, 6, 4, 92, 55, 2, 1, 9, 1, 1, 2, 1, 1, 5, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-two thousand three hundred sixty
Ordinal
172360th
Binary
101010000101001000
Octal
520510
Hexadecimal
0x2A148
Base64
AqFI
One's complement
4,294,794,935 (32-bit)
Scientific notation
1.7236 × 10⁵
As a duration
172,360 s = 1 day, 23 hours, 52 minutes, 40 seconds
In other bases
ternary (3) 22202102201
quaternary (4) 222011020
quinary (5) 21003420
senary (6) 3405544
septenary (7) 1315336
nonary (9) 282381
undecimal (11) 108551
duodecimal (12) 838b4
tridecimal (13) 605b6
tetradecimal (14) 46b56
pentadecimal (15) 3610a

As an angle

172,360° = 478 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ροβτξʹ
Chinese
一十七萬二千三百六十
Chinese (financial)
壹拾柒萬貳仟參佰陸拾
In other modern scripts
Eastern Arabic ١٧٢٣٦٠ Devanagari १७२३६० Bengali ১৭২৩৬০ Tamil ௧௭௨௩௬௦ Thai ๑๗๒๓๖๐ Tibetan ༡༧༢༣༦༠ Khmer ១៧២៣៦០ Lao ໑໗໒໓໖໐ Burmese ၁၇၂၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172360, here are decompositions:

  • 3 + 172357 = 172360
  • 17 + 172343 = 172360
  • 29 + 172331 = 172360
  • 47 + 172313 = 172360
  • 53 + 172307 = 172360
  • 101 + 172259 = 172360
  • 137 + 172223 = 172360
  • 179 + 172181 = 172360

Showing the first eight; more decompositions exist.

Unicode codepoint
𪅈
CJK Unified Ideograph-2A148
U+2A148
Other letter (Lo)

UTF-8 encoding: F0 AA 85 88 (4 bytes).

Hex color
#02A148
RGB(2, 161, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.161.72.

Address
0.2.161.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.161.72

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 172,360 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 172360 first appears in π at position 352,109 of the decimal expansion (the 352,109ordinal-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°.