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513,272

513,272 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.).

513,272 (five hundred thirteen thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 83 × 773. Written other ways, in hexadecimal, 0x7D4F8.

Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
420
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
272,315
Square (n²)
263,448,145,984
Cube (n³)
135,220,556,785,499,648
Divisor count
16
σ(n) — sum of divisors
975,240
φ(n) — Euler's totient
253,216
Sum of prime factors
862

Primality

Prime factorization: 2 3 × 83 × 773

Nearest primes: 513,269 (−3) · 513,277 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 83 · 166 · 332 · 664 · 773 · 1546 · 3092 · 6184 · 64159 · 128318 · 256636 (half) · 513272
Aliquot sum (sum of proper divisors): 461,968
Factor pairs (a × b = 513,272)
1 × 513272
2 × 256636
4 × 128318
8 × 64159
83 × 6184
166 × 3092
332 × 1546
664 × 773
First multiples
513,272 · 1,026,544 (double) · 1,539,816 · 2,053,088 · 2,566,360 · 3,079,632 · 3,592,904 · 4,106,176 · 4,619,448 · 5,132,720

Sums & aliquot sequence

As consecutive integers: 32,072 + 32,073 + … + 32,087 6,143 + 6,144 + … + 6,225 278 + 279 + … + 1,050
Aliquot sequence: 513,272 461,968 502,380 1,022,052 1,409,244 1,879,020 4,908,852 9,263,124 15,954,432 33,542,400 77,217,872 73,719,268 73,719,324 155,753,556 274,326,444 521,636,724 985,314,540 — unresolved within range

Continued fraction of √n

√513,272 = [716; (2, 3, 13, 1, 1, 1, 2, 28, 1, 6, 2, 5, 2, 11, 2, 1, 1, 1, 1, 5, 1, 83, 2, 3, …)]

Representations

In words
five hundred thirteen thousand two hundred seventy-two
Ordinal
513272nd
Binary
1111101010011111000
Octal
1752370
Hexadecimal
0x7D4F8
Base64
B9T4
One's complement
4,294,454,023 (32-bit)
Scientific notation
5.13272 × 10⁵
As a duration
513,272 s = 5 days, 22 hours, 34 minutes, 32 seconds
In other bases
ternary (3) 222002002002
quaternary (4) 1331103320
quinary (5) 112411042
senary (6) 15000132
septenary (7) 4235264
nonary (9) 862062
undecimal (11) 3206a1
duodecimal (12) 209048
tridecimal (13) 14c816
tetradecimal (14) d50a4
pentadecimal (15) a2132

As an angle

513,272° = 1,425 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φιγσοβʹ
Chinese
五十一萬三千二百七十二
Chinese (financial)
伍拾壹萬參仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ٥١٣٢٧٢ Devanagari ५१३२७२ Bengali ৫১৩২৭২ Tamil ௫௧௩௨௭௨ Thai ๕๑๓๒๗๒ Tibetan ༥༡༣༢༧༢ Khmer ៥១៣២៧២ Lao ໕໑໓໒໗໒ Burmese ၅၁၃၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513272, here are decompositions:

  • 3 + 513269 = 513272
  • 103 + 513169 = 513272
  • 163 + 513109 = 513272
  • 241 + 513031 = 513272
  • 271 + 513001 = 513272
  • 283 + 512989 = 513272
  • 313 + 512959 = 513272
  • 373 + 512899 = 513272

Showing the first eight; more decompositions exist.

Hex color
#07D4F8
RGB(7, 212, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.248.

Address
0.7.212.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.248

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 513,272 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 513272 first appears in π at position 500,165 of the decimal expansion (the 500,165ordinal-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°.