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513,122

513,122 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.).

513,122 (five hundred thirteen thousand one hundred twenty-two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 256,561. Written other ways, in hexadecimal, 0x7D462.

Cube-Free Deficient Number Evil Number Happy Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
60
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
221,315
Square (n²)
263,294,186,884
Cube (n³)
135,102,039,762,291,848
Divisor count
4
σ(n) — sum of divisors
769,686
φ(n) — Euler's totient
256,560
Sum of prime factors
256,563

Primality

Prime factorization: 2 × 256561

Nearest primes: 513,109 (−13) · 513,131 (+9)

Divisors & multiples

All divisors (4)
1 · 2 · 256561 (half) · 513122
Aliquot sum (sum of proper divisors): 256,564
Factor pairs (a × b = 513,122)
1 × 513122
2 × 256561
First multiples
513,122 · 1,026,244 (double) · 1,539,366 · 2,052,488 · 2,565,610 · 3,078,732 · 3,591,854 · 4,104,976 · 4,618,098 · 5,131,220

Sums & aliquot sequence

As a sum of two squares: 419² + 581²
As consecutive integers: 128,279 + 128,280 + 128,281 + 128,282
Aliquot sequence: 513,122 256,564 348,236 348,292 361,130 476,086 293,018 212,422 151,754 85,846 42,926 27,346 18,140 19,996 15,004 14,788 11,098 — unresolved within range

Continued fraction of √n

√513,122 = [716; (3, 13, 1, 1, 2, 1, 3, 1, 3, 2, 4, 1, 1, 3, 5, 204, 2, 9, 1, 1, 12, 6, 1, 1, …)]

Representations

In words
five hundred thirteen thousand one hundred twenty-two
Ordinal
513122nd
Binary
1111101010001100010
Octal
1752142
Hexadecimal
0x7D462
Base64
B9Ri
One's complement
4,294,454,173 (32-bit)
Scientific notation
5.13122 × 10⁵
As a duration
513,122 s = 5 days, 22 hours, 32 minutes, 2 seconds
In other bases
ternary (3) 222001212112
quaternary (4) 1331101202
quinary (5) 112404442
senary (6) 14555322
septenary (7) 4234661
nonary (9) 861775
undecimal (11) 320575
duodecimal (12) 208b42
tridecimal (13) 14c72c
tetradecimal (14) d4dd8
pentadecimal (15) a2082

As an angle

513,122° = 1,425 × 360° + 122°
122° ≈ 2.129 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φιγρκβʹ
Chinese
五十一萬三千一百二十二
Chinese (financial)
伍拾壹萬參仟壹佰貳拾貳
In other modern scripts
Eastern Arabic ٥١٣١٢٢ Devanagari ५१३१२२ Bengali ৫১৩১২২ Tamil ௫௧௩௧௨௨ Thai ๕๑๓๑๒๒ Tibetan ༥༡༣༡༢༢ Khmer ៥១៣១២២ Lao ໕໑໓໑໒໒ Burmese ၅၁၃၁၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513122, here are decompositions:

  • 13 + 513109 = 513122
  • 19 + 513103 = 513122
  • 109 + 513013 = 513122
  • 163 + 512959 = 513122
  • 193 + 512929 = 513122
  • 223 + 512899 = 513122
  • 409 + 512713 = 513122
  • 439 + 512683 = 513122

Showing the first eight; more decompositions exist.

Hex color
#07D462
RGB(7, 212, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.98.

Address
0.7.212.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.98

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 513,122 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 513122 first appears in π at position 177,800 of the decimal expansion (the 177,800ordinal-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°.