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513,354

513,354 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.).

513,354 (five hundred thirteen thousand three hundred fifty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 67 × 1,277. Its proper divisors sum to 529,494, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D54A.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
900
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
453,315
Square (n²)
263,532,329,316
Cube (n³)
135,285,375,383,685,864
Divisor count
16
σ(n) — sum of divisors
1,042,848
φ(n) — Euler's totient
168,432
Sum of prime factors
1,349

Primality

Prime factorization: 2 × 3 × 67 × 1277

Nearest primes: 513,353 (−1) · 513,367 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 67 · 134 · 201 · 402 · 1277 · 2554 · 3831 · 7662 · 85559 · 171118 · 256677 (half) · 513354
Aliquot sum (sum of proper divisors): 529,494
Factor pairs (a × b = 513,354)
1 × 513354
2 × 256677
3 × 171118
6 × 85559
67 × 7662
134 × 3831
201 × 2554
402 × 1277
First multiples
513,354 · 1,026,708 (double) · 1,540,062 · 2,053,416 · 2,566,770 · 3,080,124 · 3,593,478 · 4,106,832 · 4,620,186 · 5,133,540

Sums & aliquot sequence

As consecutive integers: 171,117 + 171,118 + 171,119 128,337 + 128,338 + 128,339 + 128,340 42,774 + 42,775 + … + 42,785 7,629 + 7,630 + … + 7,695
Aliquot sequence: 513,354 529,494 703,074 741,534 762,738 762,750 1,371,330 2,318,202 2,878,938 3,725,478 4,409,922 5,315,838 6,365,442 6,804,798 11,785,410 25,954,110 57,125,250 — unresolved within range

Continued fraction of √n

√513,354 = [716; (2, 19, 7, 1, 2, 3, 1, 1, 1, 8, 1, 5, 1, 2, 2, 2, 2, 238, 2, 2, 2, 2, 1, 5, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand three hundred fifty-four
Ordinal
513354th
Binary
1111101010101001010
Octal
1752512
Hexadecimal
0x7D54A
Base64
B9VK
One's complement
4,294,453,941 (32-bit)
Scientific notation
5.13354 × 10⁵
As a duration
513,354 s = 5 days, 22 hours, 35 minutes, 54 seconds
In other bases
ternary (3) 222002012010
quaternary (4) 1331111022
quinary (5) 112411404
senary (6) 15000350
septenary (7) 4235442
nonary (9) 862163
undecimal (11) 320766
duodecimal (12) 2090b6
tridecimal (13) 14c87a
tetradecimal (14) d5122
pentadecimal (15) a2189

As an angle

513,354° = 1,425 × 360° + 354°
354° ≈ 6.178 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγτνδʹ
Chinese
五十一萬三千三百五十四
Chinese (financial)
伍拾壹萬參仟參佰伍拾肆
In other modern scripts
Eastern Arabic ٥١٣٣٥٤ Devanagari ५१३३५४ Bengali ৫১৩৩৫৪ Tamil ௫௧௩௩௫௪ Thai ๕๑๓๓๕๔ Tibetan ༥༡༣༣༥༤ Khmer ៥១៣៣៥៤ Lao ໕໑໓໓໕໔ Burmese ၅၁၃၃၅၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513354, here are decompositions:

  • 7 + 513347 = 513354
  • 13 + 513341 = 513354
  • 41 + 513313 = 513354
  • 43 + 513311 = 513354
  • 47 + 513307 = 513354
  • 71 + 513283 = 513354
  • 97 + 513257 = 513354
  • 151 + 513203 = 513354

Showing the first eight; more decompositions exist.

Hex color
#07D54A
RGB(7, 213, 74)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.74.

Address
0.7.213.74
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.74

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 513,354 and was likely granted around 1893.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.