number.wiki
Live analysis

493,272

493,272 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.).

493,272 (four hundred ninety-three thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 13 × 17 × 31. Its proper divisors sum to 1,079,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x786D8.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
3,024
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
272,394
Recamán's sequence
a(148,948) = 493,272
Square (n²)
243,317,265,984
Cube (n³)
120,021,594,426,459,648
Divisor count
96
σ(n) — sum of divisors
1,572,480
φ(n) — Euler's totient
138,240
Sum of prime factors
73

Primality

Prime factorization: 2 3 × 3 2 × 13 × 17 × 31

Nearest primes: 493,249 (−23) · 493,277 (+5)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 17 · 18 · 24 · 26 · 31 · 34 · 36 · 39 · 51 · 52 · 62 · 68 · 72 · 78 · 93 · 102 · 104 · 117 · 124 · 136 · 153 · 156 · 186 · 204 · 221 · 234 · 248 · 279 · 306 · 312 · 372 · 403 · 408 · 442 · 468 · 527 · 558 · 612 · 663 · 744 · 806 · 884 · 936 · 1054 · 1116 · 1209 · 1224 · 1326 · 1581 · 1612 · 1768 · 1989 · 2108 · 2232 · 2418 · 2652 · 3162 · 3224 · 3627 · 3978 · 4216 · 4743 · 4836 · 5304 · 6324 · 6851 · 7254 · 7956 · 9486 · 9672 · 12648 · 13702 · 14508 · 15912 · 18972 · 20553 · 27404 · 29016 · 37944 · 41106 · 54808 · 61659 · 82212 · 123318 · 164424 · 246636 (half) · 493272
Aliquot sum (sum of proper divisors): 1,079,208
Factor pairs (a × b = 493,272)
1 × 493272
2 × 246636
3 × 164424
4 × 123318
6 × 82212
8 × 61659
9 × 54808
12 × 41106
13 × 37944
17 × 29016
18 × 27404
24 × 20553
26 × 18972
31 × 15912
34 × 14508
36 × 13702
39 × 12648
51 × 9672
52 × 9486
62 × 7956
68 × 7254
72 × 6851
78 × 6324
93 × 5304
102 × 4836
104 × 4743
117 × 4216
124 × 3978
136 × 3627
153 × 3224
156 × 3162
186 × 2652
204 × 2418
221 × 2232
234 × 2108
248 × 1989
279 × 1768
306 × 1612
312 × 1581
372 × 1326
403 × 1224
408 × 1209
442 × 1116
468 × 1054
527 × 936
558 × 884
612 × 806
663 × 744
First multiples
493,272 · 986,544 (double) · 1,479,816 · 1,973,088 · 2,466,360 · 2,959,632 · 3,452,904 · 3,946,176 · 4,439,448 · 4,932,720

Sums & aliquot sequence

As consecutive integers: 164,423 + 164,424 + 164,425 54,804 + 54,805 + … + 54,812 37,938 + 37,939 + … + 37,950 30,822 + 30,823 + … + 30,837
Aliquot sequence: 493,272 1,079,208 2,071,212 4,025,172 5,399,628 8,169,060 14,865,756 19,913,268 26,626,092 35,599,764 48,606,316 45,500,564 35,475,436 26,606,584 25,552,376 22,358,344 19,847,156 — unresolved within range

Continued fraction of √n

√493,272 = [702; (3, 1404)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-three thousand two hundred seventy-two
Ordinal
493272nd
Binary
1111000011011011000
Octal
1703330
Hexadecimal
0x786D8
Base64
B4bY
One's complement
4,294,474,023 (32-bit)
Scientific notation
4.93272 × 10⁵
As a duration
493,272 s = 5 days, 17 hours, 1 minute, 12 seconds
In other bases
ternary (3) 221001122100
quaternary (4) 1320123120
quinary (5) 111241042
senary (6) 14323400
septenary (7) 4123053
nonary (9) 831570
undecimal (11) 30766a
duodecimal (12) 1b9560
tridecimal (13) 1436a0
tetradecimal (14) cba9a
pentadecimal (15) 9b24c

As an angle

493,272° = 1,370 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υϟγσοβʹ
Chinese
四十九萬三千二百七十二
Chinese (financial)
肆拾玖萬參仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ٤٩٣٢٧٢ Devanagari ४९३२७२ Bengali ৪৯৩২৭২ Tamil ௪௯௩௨௭௨ Thai ๔๙๓๒๗๒ Tibetan ༤༩༣༢༧༢ Khmer ៤៩៣២៧២ Lao ໔໙໓໒໗໒ Burmese ၄၉၃၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 493272, here are decompositions:

  • 23 + 493249 = 493272
  • 29 + 493243 = 493272
  • 41 + 493231 = 493272
  • 53 + 493219 = 493272
  • 61 + 493211 = 493272
  • 71 + 493201 = 493272
  • 79 + 493193 = 493272
  • 103 + 493169 = 493272

Showing the first eight; more decompositions exist.

Hex color
#0786D8
RGB(7, 134, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.134.216.

Address
0.7.134.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.134.216

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 493,272 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 493272 first appears in π at position 224,402 of the decimal expansion (the 224,402ordinal-suffix:nd 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°.