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513,484

513,484 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.).

513,484 (five hundred thirteen thousand four hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 31 × 41 × 101. Written other ways, in hexadecimal, 0x7D5CC.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,920
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
484,315
Square (n²)
263,665,818,256
Cube (n³)
135,388,179,021,363,904
Divisor count
24
σ(n) — sum of divisors
959,616
φ(n) — Euler's totient
240,000
Sum of prime factors
177

Primality

Prime factorization: 2 2 × 31 × 41 × 101

Nearest primes: 513,481 (−3) · 513,509 (+25)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 31 · 41 · 62 · 82 · 101 · 124 · 164 · 202 · 404 · 1271 · 2542 · 3131 · 4141 · 5084 · 6262 · 8282 · 12524 · 16564 · 128371 · 256742 (half) · 513484
Aliquot sum (sum of proper divisors): 446,132
Factor pairs (a × b = 513,484)
1 × 513484
2 × 256742
4 × 128371
31 × 16564
41 × 12524
62 × 8282
82 × 6262
101 × 5084
124 × 4141
164 × 3131
202 × 2542
404 × 1271
First multiples
513,484 · 1,026,968 (double) · 1,540,452 · 2,053,936 · 2,567,420 · 3,080,904 · 3,594,388 · 4,107,872 · 4,621,356 · 5,134,840

Sums & aliquot sequence

As consecutive integers: 64,182 + 64,183 + … + 64,189 16,549 + 16,550 + … + 16,579 12,504 + 12,505 + … + 12,544 5,034 + 5,035 + … + 5,134
Aliquot sequence: 513,484 446,132 334,606 169,898 115,222 61,034 30,520 48,680 60,940 79,172 59,386 33,638 22,222 12,050 10,456 9,164 7,636 — unresolved within range

Continued fraction of √n

√513,484 = [716; (1, 1, 2, 1, 2, 2, 2, 31, 2, 3, 2, 1, 5, 1, 32, 2, 11, 6, 3, 1, 1, 5, 1, 10, …)]

Representations

In words
five hundred thirteen thousand four hundred eighty-four
Ordinal
513484th
Binary
1111101010111001100
Octal
1752714
Hexadecimal
0x7D5CC
Base64
B9XM
One's complement
4,294,453,811 (32-bit)
Scientific notation
5.13484 × 10⁵
As a duration
513,484 s = 5 days, 22 hours, 38 minutes, 4 seconds
In other bases
ternary (3) 222002100221
quaternary (4) 1331113030
quinary (5) 112412414
senary (6) 15001124
septenary (7) 4236016
nonary (9) 862327
undecimal (11) 320874
duodecimal (12) 2091a4
tridecimal (13) 14c94a
tetradecimal (14) d51b6
pentadecimal (15) a2224

As an angle

513,484° = 1,426 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγυπδʹ
Chinese
五十一萬三千四百八十四
Chinese (financial)
伍拾壹萬參仟肆佰捌拾肆
In other modern scripts
Eastern Arabic ٥١٣٤٨٤ Devanagari ५१३४८४ Bengali ৫১৩৪৮৪ Tamil ௫௧௩௪௮௪ Thai ๕๑๓๔๘๔ Tibetan ༥༡༣༤༨༤ Khmer ៥១៣៤៨៤ Lao ໕໑໓໔໘໔ Burmese ၅၁၃၄၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513484, here are decompositions:

  • 3 + 513481 = 513484
  • 5 + 513479 = 513484
  • 11 + 513473 = 513484
  • 53 + 513431 = 513484
  • 113 + 513371 = 513484
  • 131 + 513353 = 513484
  • 137 + 513347 = 513484
  • 173 + 513311 = 513484

Showing the first eight; more decompositions exist.

Hex color
#07D5CC
RGB(7, 213, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.204.

Address
0.7.213.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.204

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 513,484 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 513484 first appears in π at position 481,460 of the decimal expansion (the 481,460ordinal-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°.