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513,474

513,474 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.).

513,474 (five hundred thirteen thousand four hundred seventy-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 29 × 227. Its proper divisors sum to 635,646, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D5C2.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,680
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
474,315
Square (n²)
263,655,548,676
Cube (n³)
135,380,269,200,860,424
Divisor count
32
σ(n) — sum of divisors
1,149,120
φ(n) — Euler's totient
151,872
Sum of prime factors
274

Primality

Prime factorization: 2 × 3 × 13 × 29 × 227

Nearest primes: 513,473 (−1) · 513,479 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 13 · 26 · 29 · 39 · 58 · 78 · 87 · 174 · 227 · 377 · 454 · 681 · 754 · 1131 · 1362 · 2262 · 2951 · 5902 · 6583 · 8853 · 13166 · 17706 · 19749 · 39498 · 85579 · 171158 · 256737 (half) · 513474
Aliquot sum (sum of proper divisors): 635,646
Factor pairs (a × b = 513,474)
1 × 513474
2 × 256737
3 × 171158
6 × 85579
13 × 39498
26 × 19749
29 × 17706
39 × 13166
58 × 8853
78 × 6583
87 × 5902
174 × 2951
227 × 2262
377 × 1362
454 × 1131
681 × 754
First multiples
513,474 · 1,026,948 (double) · 1,540,422 · 2,053,896 · 2,567,370 · 3,080,844 · 3,594,318 · 4,107,792 · 4,621,266 · 5,134,740

Sums & aliquot sequence

As consecutive integers: 171,157 + 171,158 + 171,159 128,367 + 128,368 + 128,369 + 128,370 42,784 + 42,785 + … + 42,795 39,492 + 39,493 + … + 39,504
Aliquot sequence: 513,474 635,646 751,362 768,030 1,075,314 1,086,414 1,396,914 1,396,926 1,733,586 1,733,598 2,356,722 3,158,478 3,723,930 7,867,494 9,178,782 9,178,794 11,574,198 — unresolved within range

Continued fraction of √n

√513,474 = [716; (1, 1, 3, 47, 2, 16, 1, 56, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 5, 1, 1, 2, 1, 10, …)]

Representations

In words
five hundred thirteen thousand four hundred seventy-four
Ordinal
513474th
Binary
1111101010111000010
Octal
1752702
Hexadecimal
0x7D5C2
Base64
B9XC
One's complement
4,294,453,821 (32-bit)
Scientific notation
5.13474 × 10⁵
As a duration
513,474 s = 5 days, 22 hours, 37 minutes, 54 seconds
In other bases
ternary (3) 222002100120
quaternary (4) 1331113002
quinary (5) 112412344
senary (6) 15001110
septenary (7) 4236003
nonary (9) 862316
undecimal (11) 320865
duodecimal (12) 209196
tridecimal (13) 14c940
tetradecimal (14) d51aa
pentadecimal (15) a2219

As an angle

513,474° = 1,426 × 360° + 114°
114° ≈ 1.99 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγυοδʹ
Chinese
五十一萬三千四百七十四
Chinese (financial)
伍拾壹萬參仟肆佰柒拾肆
In other modern scripts
Eastern Arabic ٥١٣٤٧٤ Devanagari ५१३४७४ Bengali ৫১৩৪৭৪ Tamil ௫௧௩௪௭௪ Thai ๕๑๓๔๗๔ Tibetan ༥༡༣༤༧༤ Khmer ៥១៣៤៧៤ Lao ໕໑໓໔໗໔ Burmese ၅၁၃၄၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513474, here are decompositions:

  • 43 + 513431 = 513474
  • 47 + 513427 = 513474
  • 67 + 513407 = 513474
  • 103 + 513371 = 513474
  • 107 + 513367 = 513474
  • 127 + 513347 = 513474
  • 163 + 513311 = 513474
  • 167 + 513307 = 513474

Showing the first eight; more decompositions exist.

Hex color
#07D5C2
RGB(7, 213, 194)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.194.

Address
0.7.213.194
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.194

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 513,474 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 513474 first appears in π at position 15,968 of the decimal expansion (the 15,968ordinal-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°.