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513,248

513,248 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.).

513,248 (five hundred thirteen thousand two hundred forty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 43 × 373. Its proper divisors sum to 523,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D4E0.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
960
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
842,315
Square (n²)
263,423,509,504
Cube (n³)
135,201,589,405,908,992
Divisor count
24
σ(n) — sum of divisors
1,036,728
φ(n) — Euler's totient
249,984
Sum of prime factors
426

Primality

Prime factorization: 2 5 × 43 × 373

Nearest primes: 513,239 (−9) · 513,257 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 43 · 86 · 172 · 344 · 373 · 688 · 746 · 1376 · 1492 · 2984 · 5968 · 11936 · 16039 · 32078 · 64156 · 128312 · 256624 (half) · 513248
Aliquot sum (sum of proper divisors): 523,480
Factor pairs (a × b = 513,248)
1 × 513248
2 × 256624
4 × 128312
8 × 64156
16 × 32078
32 × 16039
43 × 11936
86 × 5968
172 × 2984
344 × 1492
373 × 1376
688 × 746
First multiples
513,248 · 1,026,496 (double) · 1,539,744 · 2,052,992 · 2,566,240 · 3,079,488 · 3,592,736 · 4,105,984 · 4,619,232 · 5,132,480

Sums & aliquot sequence

As consecutive integers: 11,915 + 11,916 + … + 11,957 7,988 + 7,989 + … + 8,051 1,190 + 1,191 + … + 1,562
Aliquot sequence: 513,248 523,480 707,720 1,008,400 1,415,242 717,434 422,074 214,406 131,194 93,734 46,870 40,250 49,606 29,234 15,694 13,106 6,556 — unresolved within range

Continued fraction of √n

√513,248 = [716; (2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 3, 2, 1, 3, 2, 11, 1, 1, 1, 1, 357, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand two hundred forty-eight
Ordinal
513248th
Binary
1111101010011100000
Octal
1752340
Hexadecimal
0x7D4E0
Base64
B9Tg
One's complement
4,294,454,047 (32-bit)
Scientific notation
5.13248 × 10⁵
As a duration
513,248 s = 5 days, 22 hours, 34 minutes, 8 seconds
In other bases
ternary (3) 222002001012
quaternary (4) 1331103200
quinary (5) 112410443
senary (6) 15000052
septenary (7) 4235231
nonary (9) 862035
undecimal (11) 32067a
duodecimal (12) 209028
tridecimal (13) 14c7c8
tetradecimal (14) d5088
pentadecimal (15) a2118

As an angle

513,248° = 1,425 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγσμηʹ
Chinese
五十一萬三千二百四十八
Chinese (financial)
伍拾壹萬參仟貳佰肆拾捌
In other modern scripts
Eastern Arabic ٥١٣٢٤٨ Devanagari ५१३२४८ Bengali ৫১৩২৪৮ Tamil ௫௧௩௨௪௮ Thai ๕๑๓๒๔๘ Tibetan ༥༡༣༢༤༨ Khmer ៥១៣២៤៨ Lao ໕໑໓໒໔໘ Burmese ၅၁၃၂၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513248, here are decompositions:

  • 79 + 513169 = 513248
  • 139 + 513109 = 513248
  • 181 + 513067 = 513248
  • 271 + 512977 = 513248
  • 331 + 512917 = 513248
  • 349 + 512899 = 513248
  • 487 + 512761 = 513248
  • 577 + 512671 = 513248

Showing the first eight; more decompositions exist.

Hex color
#07D4E0
RGB(7, 212, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.224.

Address
0.7.212.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.224

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 513,248 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°.