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513,434

513,434 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.).

513,434 (five hundred thirteen thousand four hundred thirty-four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 17 × 15,101. Written other ways, in hexadecimal, 0x7D59A.

Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
720
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
434,315
Square (n²)
263,614,472,356
Cube (n³)
135,348,632,999,630,504
Divisor count
8
σ(n) — sum of divisors
815,508
φ(n) — Euler's totient
241,600
Sum of prime factors
15,120

Primality

Prime factorization: 2 × 17 × 15101

Nearest primes: 513,431 (−3) · 513,439 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 17 · 34 · 15101 · 30202 · 256717 (half) · 513434
Aliquot sum (sum of proper divisors): 302,074
Factor pairs (a × b = 513,434)
1 × 513434
2 × 256717
17 × 30202
34 × 15101
First multiples
513,434 · 1,026,868 (double) · 1,540,302 · 2,053,736 · 2,567,170 · 3,080,604 · 3,594,038 · 4,107,472 · 4,620,906 · 5,134,340

Sums & aliquot sequence

As a sum of two squares: 47² + 715² = 295² + 653²
As consecutive integers: 128,357 + 128,358 + 128,359 + 128,360 30,194 + 30,195 + … + 30,210 7,517 + 7,518 + … + 7,584
Aliquot sequence: 513,434 302,074 157,466 84,358 42,182 33,850 29,204 30,646 26,954 13,480 16,940 27,748 27,804 46,564 46,620 119,364 216,636 — unresolved within range

Continued fraction of √n

√513,434 = [716; (1, 1, 5, 3, 3, 5, 3, 1, 1, 1, 4, 16, 2, 4, 3, 11, 1, 1, 6, 1, 54, 3, 1, 36, …)]

Representations

In words
five hundred thirteen thousand four hundred thirty-four
Ordinal
513434th
Binary
1111101010110011010
Octal
1752632
Hexadecimal
0x7D59A
Base64
B9Wa
One's complement
4,294,453,861 (32-bit)
Scientific notation
5.13434 × 10⁵
As a duration
513,434 s = 5 days, 22 hours, 37 minutes, 14 seconds
In other bases
ternary (3) 222002022002
quaternary (4) 1331112122
quinary (5) 112412214
senary (6) 15001002
septenary (7) 4235615
nonary (9) 862262
undecimal (11) 320829
duodecimal (12) 209162
tridecimal (13) 14c90c
tetradecimal (14) d517c
pentadecimal (15) a21de

As an angle

513,434° = 1,426 × 360° + 74°
74° ≈ 1.292 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγυλδʹ
Chinese
五十一萬三千四百三十四
Chinese (financial)
伍拾壹萬參仟肆佰參拾肆
In other modern scripts
Eastern Arabic ٥١٣٤٣٤ Devanagari ५१३४३४ Bengali ৫১৩৪৩৪ Tamil ௫௧௩௪௩௪ Thai ๕๑๓๔๓๔ Tibetan ༥༡༣༤༣༤ Khmer ៥១៣៤៣៤ Lao ໕໑໓໔໓໔ Burmese ၅၁၃၄၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513434, here are decompositions:

  • 3 + 513431 = 513434
  • 7 + 513427 = 513434
  • 37 + 513397 = 513434
  • 67 + 513367 = 513434
  • 127 + 513307 = 513434
  • 151 + 513283 = 513434
  • 157 + 513277 = 513434
  • 277 + 513157 = 513434

Showing the first eight; more decompositions exist.

Hex color
#07D59A
RGB(7, 213, 154)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.154.

Address
0.7.213.154
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.154

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 513,434 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 513434 first appears in π at position 725,810 of the decimal expansion (the 725,810ordinal-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°.