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513,142

513,142 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.).

513,142 (five hundred thirteen thousand one hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 36,653. Written other ways, in hexadecimal, 0x7D476.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
120
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
241,315
Square (n²)
263,314,712,164
Cube (n³)
135,117,838,029,259,288
Divisor count
8
σ(n) — sum of divisors
879,696
φ(n) — Euler's totient
219,912
Sum of prime factors
36,662

Primality

Prime factorization: 2 × 7 × 36653

Nearest primes: 513,137 (−5) · 513,157 (+15)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 36653 · 73306 · 256571 (half) · 513142
Aliquot sum (sum of proper divisors): 366,554
Factor pairs (a × b = 513,142)
1 × 513142
2 × 256571
7 × 73306
14 × 36653
First multiples
513,142 · 1,026,284 (double) · 1,539,426 · 2,052,568 · 2,565,710 · 3,078,852 · 3,591,994 · 4,105,136 · 4,618,278 · 5,131,420

Sums & aliquot sequence

As consecutive integers: 128,284 + 128,285 + 128,286 + 128,287 73,303 + 73,304 + … + 73,309 18,313 + 18,314 + … + 18,340
Aliquot sequence: 513,142 366,554 215,674 107,840 149,716 149,772 249,844 249,900 640,668 1,133,412 1,941,660 5,186,916 10,316,572 10,350,620 15,958,180 23,587,676 23,587,732 — unresolved within range

Continued fraction of √n

√513,142 = [716; (2, 1, 17, 1, 15, 1, 1, 11, 3, 13, 5, 4, 1, 2, 1, 1, 1, 7, 2, 5, 1, 2, 8, 3, …)]

Representations

In words
five hundred thirteen thousand one hundred forty-two
Ordinal
513142nd
Binary
1111101010001110110
Octal
1752166
Hexadecimal
0x7D476
Base64
B9R2
One's complement
4,294,454,153 (32-bit)
Scientific notation
5.13142 × 10⁵
As a duration
513,142 s = 5 days, 22 hours, 32 minutes, 22 seconds
In other bases
ternary (3) 222001220021
quaternary (4) 1331101312
quinary (5) 112410032
senary (6) 14555354
septenary (7) 4235020
nonary (9) 861807
undecimal (11) 320593
duodecimal (12) 208b5a
tridecimal (13) 14c746
tetradecimal (14) d5010
pentadecimal (15) a2097

As an angle

513,142° = 1,425 × 360° + 142°
142° ≈ 2.478 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φιγρμβʹ
Chinese
五十一萬三千一百四十二
Chinese (financial)
伍拾壹萬參仟壹佰肆拾貳
In other modern scripts
Eastern Arabic ٥١٣١٤٢ Devanagari ५१३१४२ Bengali ৫১৩১৪২ Tamil ௫௧௩௧௪௨ Thai ๕๑๓๑๔๒ Tibetan ༥༡༣༡༤༢ Khmer ៥១៣១៤២ Lao ໕໑໓໑໔໒ Burmese ၅၁၃၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513142, here are decompositions:

  • 5 + 513137 = 513142
  • 11 + 513131 = 513142
  • 41 + 513101 = 513142
  • 59 + 513083 = 513142
  • 83 + 513059 = 513142
  • 89 + 513053 = 513142
  • 101 + 513041 = 513142
  • 239 + 512903 = 513142

Showing the first eight; more decompositions exist.

Hex color
#07D476
RGB(7, 212, 118)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.118.

Address
0.7.212.118
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.118

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 513,142 and was likely granted around 1893.

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

Position in π

The digit sequence 513142 first appears in π at position 748,075 of the decimal expansion (the 748,075ordinal-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°.