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162,162

162,162 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.).

162,162 (one hundred sixty-two thousand one hundred sixty-two) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2 × 3⁴ × 7 × 11 × 13. Its proper divisors sum to 325,710, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27972.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
261,261
Recamán's sequence
a(197,832) = 162,162
Square (n²)
26,296,514,244
Cube (n³)
4,264,295,342,835,528
Divisor count
80
σ(n) — sum of divisors
487,872
φ(n) — Euler's totient
38,880
Sum of prime factors
45

Primality

Prime factorization: 2 × 3 4 × 7 × 11 × 13

Nearest primes: 162,143 (−19) · 162,209 (+47)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 6 · 7 · 9 · 11 · 13 · 14 · 18 · 21 · 22 · 26 · 27 · 33 · 39 · 42 · 54 · 63 · 66 · 77 · 78 · 81 · 91 · 99 · 117 · 126 · 143 · 154 · 162 · 182 · 189 · 198 · 231 · 234 · 273 · 286 · 297 · 351 · 378 · 429 · 462 · 546 · 567 · 594 · 693 · 702 · 819 · 858 · 891 · 1001 · 1053 · 1134 · 1287 · 1386 · 1638 · 1782 · 2002 · 2079 · 2106 · 2457 · 2574 · 3003 · 3861 · 4158 · 4914 · 6006 · 6237 · 7371 · 7722 · 9009 · 11583 · 12474 · 14742 · 18018 · 23166 · 27027 · 54054 · 81081 (half) · 162162
Aliquot sum (sum of proper divisors): 325,710
Factor pairs (a × b = 162,162)
1 × 162162
2 × 81081
3 × 54054
6 × 27027
7 × 23166
9 × 18018
11 × 14742
13 × 12474
14 × 11583
18 × 9009
21 × 7722
22 × 7371
26 × 6237
27 × 6006
33 × 4914
39 × 4158
42 × 3861
54 × 3003
63 × 2574
66 × 2457
77 × 2106
78 × 2079
81 × 2002
91 × 1782
99 × 1638
117 × 1386
126 × 1287
143 × 1134
154 × 1053
162 × 1001
182 × 891
189 × 858
198 × 819
231 × 702
234 × 693
273 × 594
286 × 567
297 × 546
351 × 462
378 × 429
First multiples
162,162 · 324,324 (double) · 486,486 · 648,648 · 810,810 · 972,972 · 1,135,134 · 1,297,296 · 1,459,458 · 1,621,620

Sums & aliquot sequence

As consecutive integers: 54,053 + 54,054 + 54,055 40,539 + 40,540 + 40,541 + 40,542 23,163 + 23,164 + … + 23,169 18,014 + 18,015 + … + 18,022
Aliquot sequence: 162,162 325,710 752,562 878,028 1,279,092 1,705,484 1,596,724 1,197,550 1,085,786 668,218 397,742 207,490 166,010 156,046 107,042 74,398 37,202 — unresolved within range

Continued fraction of √n

√162,162 = [402; (1, 2, 3, 1, 4, 2, 46, 1, 12, 89, 2, 2, 3, 2, 4, 1, 4, 1, 4, 2, 3, 2, 2, 89, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-two thousand one hundred sixty-two
Ordinal
162162nd
Binary
100111100101110010
Octal
474562
Hexadecimal
0x27972
Base64
Anly
One's complement
4,294,805,133 (32-bit)
Scientific notation
1.62162 × 10⁵
As a duration
162,162 s = 1 day, 21 hours, 2 minutes, 42 seconds
In other bases
ternary (3) 22020110000
quaternary (4) 213211302
quinary (5) 20142122
senary (6) 3250430
septenary (7) 1243530
nonary (9) 266400
undecimal (11) 100920
duodecimal (12) 79a16
tridecimal (13) 58a70
tetradecimal (14) 43150
pentadecimal (15) 330ac
Palindromic in base 16

As an angle

162,162° = 450 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξβρξβʹ
Chinese
一十六萬二千一百六十二
Chinese (financial)
壹拾陸萬貳仟壹佰陸拾貳
In other modern scripts
Eastern Arabic ١٦٢١٦٢ Devanagari १६२१६२ Bengali ১৬২১৬২ Tamil ௧௬௨௧௬௨ Thai ๑๖๒๑๖๒ Tibetan ༡༦༢༡༦༢ Khmer ១៦២១៦២ Lao ໑໖໒໑໖໒ Burmese ၁၆၂၁၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 162162, here are decompositions:

  • 19 + 162143 = 162162
  • 43 + 162119 = 162162
  • 53 + 162109 = 162162
  • 71 + 162091 = 162162
  • 83 + 162079 = 162162
  • 103 + 162059 = 162162
  • 109 + 162053 = 162162
  • 151 + 162011 = 162162

Showing the first eight; more decompositions exist.

Unicode codepoint
𧥲
CJK Unified Ideograph-27972
U+27972
Other letter (Lo)

UTF-8 encoding: F0 A7 A5 B2 (4 bytes).

Hex color
#027972
RGB(2, 121, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.121.114.

Address
0.2.121.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.121.114

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 162,162 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°.