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172,040

172,040 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.).

172,040 (one hundred seventy-two thousand forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 11 × 17 × 23. Its proper divisors sum to 294,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A008.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
40,271
Recamán's sequence
a(191,684) = 172,040
Square (n²)
29,597,761,600
Cube (n³)
5,091,998,905,664,000
Divisor count
64
σ(n) — sum of divisors
466,560
φ(n) — Euler's totient
56,320
Sum of prime factors
62

Primality

Prime factorization: 2 3 × 5 × 11 × 17 × 23

Nearest primes: 172,031 (−9) · 172,049 (+9)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 17 · 20 · 22 · 23 · 34 · 40 · 44 · 46 · 55 · 68 · 85 · 88 · 92 · 110 · 115 · 136 · 170 · 184 · 187 · 220 · 230 · 253 · 340 · 374 · 391 · 440 · 460 · 506 · 680 · 748 · 782 · 920 · 935 · 1012 · 1265 · 1496 · 1564 · 1870 · 1955 · 2024 · 2530 · 3128 · 3740 · 3910 · 4301 · 5060 · 7480 · 7820 · 8602 · 10120 · 15640 · 17204 · 21505 · 34408 · 43010 · 86020 (half) · 172040
Aliquot sum (sum of proper divisors): 294,520
Factor pairs (a × b = 172,040)
1 × 172040
2 × 86020
4 × 43010
5 × 34408
8 × 21505
10 × 17204
11 × 15640
17 × 10120
20 × 8602
22 × 7820
23 × 7480
34 × 5060
40 × 4301
44 × 3910
46 × 3740
55 × 3128
68 × 2530
85 × 2024
88 × 1955
92 × 1870
110 × 1564
115 × 1496
136 × 1265
170 × 1012
184 × 935
187 × 920
220 × 782
230 × 748
253 × 680
340 × 506
374 × 460
391 × 440
First multiples
172,040 · 344,080 (double) · 516,120 · 688,160 · 860,200 · 1,032,240 · 1,204,280 · 1,376,320 · 1,548,360 · 1,720,400

Sums & aliquot sequence

As consecutive integers: 34,406 + 34,407 + 34,408 + 34,409 + 34,410 15,635 + 15,636 + … + 15,645 10,745 + 10,746 + … + 10,760 10,112 + 10,113 + … + 10,128
Aliquot sequence: 172,040 294,520 389,480 699,160 1,270,760 1,588,540 1,747,436 1,393,492 1,055,724 1,407,660 2,674,740 4,814,700 10,392,660 21,132,288 39,913,346 26,633,662 21,110,978 — unresolved within range

Continued fraction of √n

√172,040 = [414; (1, 3, 2, 16, 2, 16, 2, 3, 1, 828)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-two thousand forty
Ordinal
172040th
Binary
101010000000001000
Octal
520010
Hexadecimal
0x2A008
Base64
AqAI
One's complement
4,294,795,255 (32-bit)
Scientific notation
1.7204 × 10⁵
As a duration
172,040 s = 1 day, 23 hours, 47 minutes, 20 seconds
In other bases
ternary (3) 22201222212
quaternary (4) 222000020
quinary (5) 21001130
senary (6) 3404252
septenary (7) 1314401
nonary (9) 281885
undecimal (11) 108290
duodecimal (12) 83688
tridecimal (13) 603cb
tetradecimal (14) 469a8
pentadecimal (15) 35e95

As an angle

172,040° = 477 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ροβμʹ
Chinese
一十七萬二千零四十
Chinese (financial)
壹拾柒萬貳仟零肆拾
In other modern scripts
Eastern Arabic ١٧٢٠٤٠ Devanagari १७२०४० Bengali ১৭২০৪০ Tamil ௧௭௨௦௪௦ Thai ๑๗๒๐๔๐ Tibetan ༡༧༢༠༤༠ Khmer ១៧២០៤០ Lao ໑໗໒໐໔໐ Burmese ၁၇၂၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172040, here are decompositions:

  • 13 + 172027 = 172040
  • 19 + 172021 = 172040
  • 31 + 172009 = 172040
  • 103 + 171937 = 172040
  • 151 + 171889 = 172040
  • 163 + 171877 = 172040
  • 229 + 171811 = 172040
  • 241 + 171799 = 172040

Showing the first eight; more decompositions exist.

Unicode codepoint
𪀈
CJK Unified Ideograph-2A008
U+2A008
Other letter (Lo)

UTF-8 encoding: F0 AA 80 88 (4 bytes).

Hex color
#02A008
RGB(2, 160, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.160.8.

Address
0.2.160.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.160.8

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 172,040 and was likely granted around 1874.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.