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513,162

513,162 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.).

513,162 (five hundred thirteen thousand one hundred sixty-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3³ × 13 × 17 × 43. Its proper divisors sum to 817,398, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D48A.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
180
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
261,315
Square (n²)
263,335,238,244
Cube (n³)
135,133,637,527,767,528
Divisor count
64
σ(n) — sum of divisors
1,330,560
φ(n) — Euler's totient
145,152
Sum of prime factors
84

Primality

Prime factorization: 2 × 3 3 × 13 × 17 × 43

Nearest primes: 513,157 (−5) · 513,167 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 6 · 9 · 13 · 17 · 18 · 26 · 27 · 34 · 39 · 43 · 51 · 54 · 78 · 86 · 102 · 117 · 129 · 153 · 221 · 234 · 258 · 306 · 351 · 387 · 442 · 459 · 559 · 663 · 702 · 731 · 774 · 918 · 1118 · 1161 · 1326 · 1462 · 1677 · 1989 · 2193 · 2322 · 3354 · 3978 · 4386 · 5031 · 5967 · 6579 · 9503 · 10062 · 11934 · 13158 · 15093 · 19006 · 19737 · 28509 · 30186 · 39474 · 57018 · 85527 · 171054 · 256581 (half) · 513162
Aliquot sum (sum of proper divisors): 817,398
Factor pairs (a × b = 513,162)
1 × 513162
2 × 256581
3 × 171054
6 × 85527
9 × 57018
13 × 39474
17 × 30186
18 × 28509
26 × 19737
27 × 19006
34 × 15093
39 × 13158
43 × 11934
51 × 10062
54 × 9503
78 × 6579
86 × 5967
102 × 5031
117 × 4386
129 × 3978
153 × 3354
221 × 2322
234 × 2193
258 × 1989
306 × 1677
351 × 1462
387 × 1326
442 × 1161
459 × 1118
559 × 918
663 × 774
702 × 731
First multiples
513,162 · 1,026,324 (double) · 1,539,486 · 2,052,648 · 2,565,810 · 3,078,972 · 3,592,134 · 4,105,296 · 4,618,458 · 5,131,620

Sums & aliquot sequence

As consecutive integers: 171,053 + 171,054 + 171,055 128,289 + 128,290 + 128,291 + 128,292 57,014 + 57,015 + … + 57,022 42,758 + 42,759 + … + 42,769
Aliquot sequence: 513,162 817,398 999,162 1,221,318 1,923,642 3,055,878 4,631,802 5,955,270 9,179,418 9,179,430 14,546,874 15,713,862 16,157,370 22,620,390 37,762,842 49,167,078 49,294,362 — unresolved within range

Continued fraction of √n

√513,162 = [716; (2, 1, 4, 1, 9, 1, 6, 1, 1, 2, 5, 1, 2, 1, 2, 10, 1, 10, 1, 12, 1, 158, 3, 1, …)]

Representations

In words
five hundred thirteen thousand one hundred sixty-two
Ordinal
513162nd
Binary
1111101010010001010
Octal
1752212
Hexadecimal
0x7D48A
Base64
B9SK
One's complement
4,294,454,133 (32-bit)
Scientific notation
5.13162 × 10⁵
As a duration
513,162 s = 5 days, 22 hours, 32 minutes, 42 seconds
In other bases
ternary (3) 222001221000
quaternary (4) 1331102022
quinary (5) 112410122
senary (6) 14555430
septenary (7) 4235046
nonary (9) 861830
undecimal (11) 320601
duodecimal (12) 208b76
tridecimal (13) 14c760
tetradecimal (14) d5026
pentadecimal (15) a20ac

As an angle

513,162° = 1,425 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φιγρξβʹ
Chinese
五十一萬三千一百六十二
Chinese (financial)
伍拾壹萬參仟壹佰陸拾貳
In other modern scripts
Eastern Arabic ٥١٣١٦٢ Devanagari ५१३१६२ Bengali ৫১৩১৬২ Tamil ௫௧௩௧௬௨ Thai ๕๑๓๑๖๒ Tibetan ༥༡༣༡༦༢ Khmer ៥១៣១៦២ Lao ໕໑໓໑໖໒ Burmese ၅၁၃၁၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513162, here are decompositions:

  • 5 + 513157 = 513162
  • 31 + 513131 = 513162
  • 53 + 513109 = 513162
  • 59 + 513103 = 513162
  • 61 + 513101 = 513162
  • 79 + 513083 = 513162
  • 103 + 513059 = 513162
  • 109 + 513053 = 513162

Showing the first eight; more decompositions exist.

Hex color
#07D48A
RGB(7, 212, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.138.

Address
0.7.212.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.138

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 513,162 and was likely granted around 1893.

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°.