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172,380

172,380 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.).

172,380 (one hundred seventy-two thousand three hundred eighty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5 × 13² × 17. Its proper divisors sum to 381,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A15C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
83,271
Recamán's sequence
a(191,004) = 172,380
Square (n²)
29,714,864,400
Cube (n³)
5,122,248,325,272,000
Divisor count
72
σ(n) — sum of divisors
553,392
φ(n) — Euler's totient
39,936
Sum of prime factors
55

Primality

Prime factorization: 2 2 × 3 × 5 × 13 2 × 17

Nearest primes: 172,373 (−7) · 172,399 (+19)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 17 · 20 · 26 · 30 · 34 · 39 · 51 · 52 · 60 · 65 · 68 · 78 · 85 · 102 · 130 · 156 · 169 · 170 · 195 · 204 · 221 · 255 · 260 · 338 · 340 · 390 · 442 · 507 · 510 · 663 · 676 · 780 · 845 · 884 · 1014 · 1020 · 1105 · 1326 · 1690 · 2028 · 2210 · 2535 · 2652 · 2873 · 3315 · 3380 · 4420 · 5070 · 5746 · 6630 · 8619 · 10140 · 11492 · 13260 · 14365 · 17238 · 28730 · 34476 · 43095 · 57460 · 86190 (half) · 172380
Aliquot sum (sum of proper divisors): 381,012
Factor pairs (a × b = 172,380)
1 × 172380
2 × 86190
3 × 57460
4 × 43095
5 × 34476
6 × 28730
10 × 17238
12 × 14365
13 × 13260
15 × 11492
17 × 10140
20 × 8619
26 × 6630
30 × 5746
34 × 5070
39 × 4420
51 × 3380
52 × 3315
60 × 2873
65 × 2652
68 × 2535
78 × 2210
85 × 2028
102 × 1690
130 × 1326
156 × 1105
169 × 1020
170 × 1014
195 × 884
204 × 845
221 × 780
255 × 676
260 × 663
338 × 510
340 × 507
390 × 442
First multiples
172,380 · 344,760 (double) · 517,140 · 689,520 · 861,900 · 1,034,280 · 1,206,660 · 1,379,040 · 1,551,420 · 1,723,800

Sums & aliquot sequence

As consecutive integers: 57,459 + 57,460 + 57,461 34,474 + 34,475 + 34,476 + 34,477 + 34,478 21,544 + 21,545 + … + 21,551 13,254 + 13,255 + … + 13,266
Aliquot sequence: 172,380 381,012 508,044 677,420 745,204 558,910 538,802 389,998 288,242 147,214 73,610 67,006 33,506 21,358 11,402 5,704 5,816 — unresolved within range

Continued fraction of √n

√172,380 = [415; (5, 2, 1, 4, 4, 2, 2, 1, 6, 4, 1, 3, 4, 11, 1, 3, 1, 206, 1, 3, 1, 11, 4, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-two thousand three hundred eighty
Ordinal
172380th
Binary
101010000101011100
Octal
520534
Hexadecimal
0x2A15C
Base64
AqFc
One's complement
4,294,794,915 (32-bit)
Scientific notation
1.7238 × 10⁵
As a duration
172,380 s = 1 day, 23 hours, 53 minutes
In other bases
ternary (3) 22202110110
quaternary (4) 222011130
quinary (5) 21004010
senary (6) 3410020
septenary (7) 1315365
nonary (9) 282413
undecimal (11) 10856a
duodecimal (12) 83910
tridecimal (13) 60600
tetradecimal (14) 46b6c
pentadecimal (15) 36120

As an angle

172,380° = 478 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ροβτπʹ
Chinese
一十七萬二千三百八十
Chinese (financial)
壹拾柒萬貳仟參佰捌拾
In other modern scripts
Eastern Arabic ١٧٢٣٨٠ Devanagari १७२३८० Bengali ১৭২৩৮০ Tamil ௧௭௨௩௮௦ Thai ๑๗๒๓๘๐ Tibetan ༡༧༢༣༨༠ Khmer ១៧២៣៨០ Lao ໑໗໒໓໘໐ Burmese ၁၇၂၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172380, here are decompositions:

  • 7 + 172373 = 172380
  • 23 + 172357 = 172380
  • 29 + 172351 = 172380
  • 37 + 172343 = 172380
  • 59 + 172321 = 172380
  • 67 + 172313 = 172380
  • 73 + 172307 = 172380
  • 83 + 172297 = 172380

Showing the first eight; more decompositions exist.

Unicode codepoint
𪅜
CJK Unified Ideograph-2A15C
U+2A15C
Other letter (Lo)

UTF-8 encoding: F0 AA 85 9C (4 bytes).

Hex color
#02A15C
RGB(2, 161, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.161.92.

Address
0.2.161.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.161.92

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 172,380 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 172380 first appears in π at position 240,666 of the decimal expansion (the 240,666ordinal-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°.