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171,120

171,120 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.).

171,120 (one hundred seventy-one thousand one hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 23 × 31. Its proper divisors sum to 400,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29C70.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
21,171
Recamán's sequence
a(193,524) = 171,120
Square (n²)
29,282,054,400
Cube (n³)
5,010,745,148,928,000
Divisor count
80
σ(n) — sum of divisors
571,392
φ(n) — Euler's totient
42,240
Sum of prime factors
70

Primality

Prime factorization: 2 4 × 3 × 5 × 23 × 31

Nearest primes: 171,103 (−17) · 171,131 (+11)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 23 · 24 · 30 · 31 · 40 · 46 · 48 · 60 · 62 · 69 · 80 · 92 · 93 · 115 · 120 · 124 · 138 · 155 · 184 · 186 · 230 · 240 · 248 · 276 · 310 · 345 · 368 · 372 · 460 · 465 · 496 · 552 · 620 · 690 · 713 · 744 · 920 · 930 · 1104 · 1240 · 1380 · 1426 · 1488 · 1840 · 1860 · 2139 · 2480 · 2760 · 2852 · 3565 · 3720 · 4278 · 5520 · 5704 · 7130 · 7440 · 8556 · 10695 · 11408 · 14260 · 17112 · 21390 · 28520 · 34224 · 42780 · 57040 · 85560 (half) · 171120
Aliquot sum (sum of proper divisors): 400,272
Factor pairs (a × b = 171,120)
1 × 171120
2 × 85560
3 × 57040
4 × 42780
5 × 34224
6 × 28520
8 × 21390
10 × 17112
12 × 14260
15 × 11408
16 × 10695
20 × 8556
23 × 7440
24 × 7130
30 × 5704
31 × 5520
40 × 4278
46 × 3720
48 × 3565
60 × 2852
62 × 2760
69 × 2480
80 × 2139
92 × 1860
93 × 1840
115 × 1488
120 × 1426
124 × 1380
138 × 1240
155 × 1104
184 × 930
186 × 920
230 × 744
240 × 713
248 × 690
276 × 620
310 × 552
345 × 496
368 × 465
372 × 460
First multiples
171,120 · 342,240 (double) · 513,360 · 684,480 · 855,600 · 1,026,720 · 1,197,840 · 1,368,960 · 1,540,080 · 1,711,200

Sums & aliquot sequence

As consecutive integers: 57,039 + 57,040 + 57,041 34,222 + 34,223 + 34,224 + 34,225 + 34,226 11,401 + 11,402 + … + 11,415 7,429 + 7,430 + … + 7,451
Aliquot sequence: 171,120 400,272 671,088 1,328,784 2,480,496 4,138,128 8,345,200 12,381,648 21,473,328 35,792,848 54,249,008 66,790,864 85,881,904 85,882,896 199,098,864 390,863,376 738,310,384 — unresolved within range

Continued fraction of √n

√171,120 = [413; (1, 1, 1, 826)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-one thousand one hundred twenty
Ordinal
171120th
Binary
101001110001110000
Octal
516160
Hexadecimal
0x29C70
Base64
Apxw
One's complement
4,294,796,175 (32-bit)
Scientific notation
1.7112 × 10⁵
As a duration
171,120 s = 1 day, 23 hours, 32 minutes
In other bases
ternary (3) 22200201210
quaternary (4) 221301300
quinary (5) 20433440
senary (6) 3400120
septenary (7) 1311615
nonary (9) 280653
undecimal (11) 107624
duodecimal (12) 83040
tridecimal (13) 5cb71
tetradecimal (14) 4650c
pentadecimal (15) 35a80

As an angle

171,120° = 475 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ροαρκʹ
Chinese
一十七萬一千一百二十
Chinese (financial)
壹拾柒萬壹仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٧١١٢٠ Devanagari १७११२० Bengali ১৭১১২০ Tamil ௧௭௧௧௨௦ Thai ๑๗๑๑๒๐ Tibetan ༡༧༡༡༢༠ Khmer ១៧១១២០ Lao ໑໗໑໑໒໐ Burmese ၁၇၁၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 171120, here are decompositions:

  • 17 + 171103 = 171120
  • 29 + 171091 = 171120
  • 41 + 171079 = 171120
  • 43 + 171077 = 171120
  • 67 + 171053 = 171120
  • 71 + 171049 = 171120
  • 73 + 171047 = 171120
  • 97 + 171023 = 171120

Showing the first eight; more decompositions exist.

Unicode codepoint
𩱰
CJK Unified Ideograph-29C70
U+29C70
Other letter (Lo)

UTF-8 encoding: F0 A9 B1 B0 (4 bytes).

Hex color
#029C70
RGB(2, 156, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.156.112.

Address
0.2.156.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.156.112

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 171,120 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 171120 first appears in π at position 163,699 of the decimal expansion (the 163,699ordinal-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°.