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513,172

513,172 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.).

513,172 (five hundred thirteen thousand one hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 107 × 109. Written other ways, in hexadecimal, 0x7D494.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
210
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
271,315
Square (n²)
263,345,501,584
Cube (n³)
135,141,537,738,864,448
Divisor count
24
σ(n) — sum of divisors
997,920
φ(n) — Euler's totient
228,960
Sum of prime factors
231

Primality

Prime factorization: 2 2 × 11 × 107 × 109

Nearest primes: 513,169 (−3) · 513,173 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 11 · 22 · 44 · 107 · 109 · 214 · 218 · 428 · 436 · 1177 · 1199 · 2354 · 2398 · 4708 · 4796 · 11663 · 23326 · 46652 · 128293 · 256586 (half) · 513172
Aliquot sum (sum of proper divisors): 484,748
Factor pairs (a × b = 513,172)
1 × 513172
2 × 256586
4 × 128293
11 × 46652
22 × 23326
44 × 11663
107 × 4796
109 × 4708
214 × 2398
218 × 2354
428 × 1199
436 × 1177
First multiples
513,172 · 1,026,344 (double) · 1,539,516 · 2,052,688 · 2,565,860 · 3,079,032 · 3,592,204 · 4,105,376 · 4,618,548 · 5,131,720

Sums & aliquot sequence

As consecutive integers: 64,143 + 64,144 + … + 64,150 46,647 + 46,648 + … + 46,657 5,788 + 5,789 + … + 5,875 4,743 + 4,744 + … + 4,849
Aliquot sequence: 513,172 484,748 482,932 368,688 583,880 850,360 1,337,000 2,257,240 2,821,640 3,805,240 4,756,640 8,597,344 11,095,700 19,381,516 22,906,100 35,298,508 35,298,564 — unresolved within range

Continued fraction of √n

√513,172 = [716; (2, 1, 3, 2, 6, 9, 1, 3, 1, 6, 16, 1, 9, 1, 203, 1, 3, 3, 1, 2, 1, 1, 4, 3, …)]

Representations

In words
five hundred thirteen thousand one hundred seventy-two
Ordinal
513172nd
Binary
1111101010010010100
Octal
1752224
Hexadecimal
0x7D494
Base64
B9SU
One's complement
4,294,454,123 (32-bit)
Scientific notation
5.13172 × 10⁵
As a duration
513,172 s = 5 days, 22 hours, 32 minutes, 52 seconds
In other bases
ternary (3) 222001221101
quaternary (4) 1331102110
quinary (5) 112410142
senary (6) 14555444
septenary (7) 4235062
nonary (9) 861841
undecimal (11) 320610
duodecimal (12) 208b84
tridecimal (13) 14c76a
tetradecimal (14) d5032
pentadecimal (15) a20b7

As an angle

513,172° = 1,425 × 360° + 172°
172° ≈ 3.002 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φιγροβʹ
Chinese
五十一萬三千一百七十二
Chinese (financial)
伍拾壹萬參仟壹佰柒拾貳
In other modern scripts
Eastern Arabic ٥١٣١٧٢ Devanagari ५१३१७२ Bengali ৫১৩১৭২ Tamil ௫௧௩௧௭௨ Thai ๕๑๓๑๗๒ Tibetan ༥༡༣༡༧༢ Khmer ៥១៣១៧២ Lao ໕໑໓໑໗໒ Burmese ၅၁၃၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513172, here are decompositions:

  • 3 + 513169 = 513172
  • 5 + 513167 = 513172
  • 41 + 513131 = 513172
  • 71 + 513101 = 513172
  • 89 + 513083 = 513172
  • 113 + 513059 = 513172
  • 131 + 513041 = 513172
  • 173 + 512999 = 513172

Showing the first eight; more decompositions exist.

Hex color
#07D494
RGB(7, 212, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.148.

Address
0.7.212.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.148

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 513,172 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°.