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171,720

171,720 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.).

171,720 (one hundred seventy-one thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2³ × 3⁴ × 5 × 53. Its proper divisors sum to 416,340, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29EC8.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
27,171
Recamán's sequence
a(192,324) = 171,720
Square (n²)
29,487,758,400
Cube (n³)
5,063,637,872,448,000
Divisor count
80
σ(n) — sum of divisors
588,060
φ(n) — Euler's totient
44,928
Sum of prime factors
76

Primality

Prime factorization: 2 3 × 3 4 × 5 × 53

Nearest primes: 171,719 (−1) · 171,733 (+13)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 53 · 54 · 60 · 72 · 81 · 90 · 106 · 108 · 120 · 135 · 159 · 162 · 180 · 212 · 216 · 265 · 270 · 318 · 324 · 360 · 405 · 424 · 477 · 530 · 540 · 636 · 648 · 795 · 810 · 954 · 1060 · 1080 · 1272 · 1431 · 1590 · 1620 · 1908 · 2120 · 2385 · 2862 · 3180 · 3240 · 3816 · 4293 · 4770 · 5724 · 6360 · 7155 · 8586 · 9540 · 11448 · 14310 · 17172 · 19080 · 21465 · 28620 · 34344 · 42930 · 57240 · 85860 (half) · 171720
Aliquot sum (sum of proper divisors): 416,340
Factor pairs (a × b = 171,720)
1 × 171720
2 × 85860
3 × 57240
4 × 42930
5 × 34344
6 × 28620
8 × 21465
9 × 19080
10 × 17172
12 × 14310
15 × 11448
18 × 9540
20 × 8586
24 × 7155
27 × 6360
30 × 5724
36 × 4770
40 × 4293
45 × 3816
53 × 3240
54 × 3180
60 × 2862
72 × 2385
81 × 2120
90 × 1908
106 × 1620
108 × 1590
120 × 1431
135 × 1272
159 × 1080
162 × 1060
180 × 954
212 × 810
216 × 795
265 × 648
270 × 636
318 × 540
324 × 530
360 × 477
405 × 424
First multiples
171,720 · 343,440 (double) · 515,160 · 686,880 · 858,600 · 1,030,320 · 1,202,040 · 1,373,760 · 1,545,480 · 1,717,200

Sums & aliquot sequence

As a sum of two squares: 18² + 414² = 234² + 342²
As consecutive integers: 57,239 + 57,240 + 57,241 34,342 + 34,343 + 34,344 + 34,345 + 34,346 19,076 + 19,077 + … + 19,084 11,441 + 11,442 + … + 11,455
Aliquot sequence: 171,720 416,340 894,816 1,857,024 4,100,928 8,188,608 13,477,592 11,886,448 14,433,792 24,022,824 44,614,296 85,957,704 180,103,416 270,155,184 507,399,216 831,277,008 1,516,929,840 — unresolved within range

Continued fraction of √n

√171,720 = [414; (2, 1, 1, 3, 1, 9, 2, 4, 2, 2, 1, 91, 2, 1, 1, 1, 8, 10, 8, 1, 1, 1, 2, 91, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-one thousand seven hundred twenty
Ordinal
171720th
Binary
101001111011001000
Octal
517310
Hexadecimal
0x29EC8
Base64
Ap7I
One's complement
4,294,795,575 (32-bit)
Scientific notation
1.7172 × 10⁵
As a duration
171,720 s = 1 day, 23 hours, 42 minutes
In other bases
ternary (3) 22201120000
quaternary (4) 221323020
quinary (5) 20443340
senary (6) 3403000
septenary (7) 1313433
nonary (9) 281500
undecimal (11) 10801a
duodecimal (12) 83460
tridecimal (13) 60213
tetradecimal (14) 4681a
pentadecimal (15) 35d30

As an angle

171,720° = 477 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ροαψκʹ
Chinese
一十七萬一千七百二十
Chinese (financial)
壹拾柒萬壹仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٧١٧٢٠ Devanagari १७१७२० Bengali ১৭১৭২০ Tamil ௧௭௧௭௨௦ Thai ๑๗๑๗๒๐ Tibetan ༡༧༡༧༢༠ Khmer ១៧១៧២០ Lao ໑໗໑໗໒໐ Burmese ၁၇၁၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 171720, here are decompositions:

  • 7 + 171713 = 171720
  • 13 + 171707 = 171720
  • 23 + 171697 = 171720
  • 41 + 171679 = 171720
  • 47 + 171673 = 171720
  • 61 + 171659 = 171720
  • 67 + 171653 = 171720
  • 79 + 171641 = 171720

Showing the first eight; more decompositions exist.

Unicode codepoint
𩻈
CJK Unified Ideograph-29Ec8
U+29EC8
Other letter (Lo)

UTF-8 encoding: F0 A9 BB 88 (4 bytes).

Hex color
#029EC8
RGB(2, 158, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.158.200.

Address
0.2.158.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.158.200

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 171,720 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°.