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8,727,420

8,727,420 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.).

8,727,420 (eight million seven hundred twenty-seven thousand four hundred twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 13 × 67 × 167. Its proper divisors sum to 18,141,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x852B7C.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
24 bits
Reversed
247,278
Square (n²)
76,167,859,856,400
Divisor count
96
σ(n) — sum of divisors
26,869,248
φ(n) — Euler's totient
2,103,552
Sum of prime factors
259

Primality

Prime factorization: 2 2 × 3 × 5 × 13 × 67 × 167

Nearest primes: 8,727,413 (−7) · 8,727,427 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 20 · 26 · 30 · 39 · 52 · 60 · 65 · 67 · 78 · 130 · 134 · 156 · 167 · 195 · 201 · 260 · 268 · 334 · 335 · 390 · 402 · 501 · 668 · 670 · 780 · 804 · 835 · 871 · 1002 · 1005 · 1340 · 1670 · 1742 · 2004 · 2010 · 2171 · 2505 · 2613 · 3340 · 3484 · 4020 · 4342 · 4355 · 5010 · 5226 · 6513 · 8684 · 8710 · 10020 · 10452 · 10855 · 11189 · 13026 · 13065 · 17420 · 21710 · 22378 · 26052 · 26130 · 32565 · 33567 · 43420 · 44756 · 52260 · 55945 · 65130 · 67134 · 111890 · 130260 · 134268 · 145457 · 167835 · 223780 · 290914 · 335670 · 436371 · 581828 · 671340 · 727285 · 872742 · 1454570 · 1745484 · 2181855 · 2909140 · 4363710 (half) · 8727420
Aliquot sum (sum of proper divisors): 18,141,828
Factor pairs (a × b = 8,727,420)
1 × 8727420
2 × 4363710
3 × 2909140
4 × 2181855
5 × 1745484
6 × 1454570
10 × 872742
12 × 727285
13 × 671340
15 × 581828
20 × 436371
26 × 335670
30 × 290914
39 × 223780
52 × 167835
60 × 145457
65 × 134268
67 × 130260
78 × 111890
130 × 67134
134 × 65130
156 × 55945
167 × 52260
195 × 44756
201 × 43420
260 × 33567
268 × 32565
334 × 26130
335 × 26052
390 × 22378
402 × 21710
501 × 17420
668 × 13065
670 × 13026
780 × 11189
804 × 10855
835 × 10452
871 × 10020
1002 × 8710
1005 × 8684
1340 × 6513
1670 × 5226
1742 × 5010
2004 × 4355
2010 × 4342
2171 × 4020
2505 × 3484
2613 × 3340
First multiples
8,727,420 · 17,454,840 (double) · 26,182,260 · 34,909,680 · 43,637,100 · 52,364,520 · 61,091,940 · 69,819,360 · 78,546,780 · 87,274,200

Sums & aliquot sequence

As consecutive integers: 2,909,139 + 2,909,140 + 2,909,141 1,745,482 + 1,745,483 + 1,745,484 + 1,745,485 + 1,745,486 1,090,924 + 1,090,925 + … + 1,090,931 671,334 + 671,335 + … + 671,346
Aliquot sequence: 8,727,420 18,141,828 24,189,132 41,129,268 54,839,052 87,903,828 134,297,606 67,148,806 35,717,594 22,982,566 12,990,218 6,495,112 7,426,628 6,989,116 5,663,804 4,276,420 4,704,104 — unresolved within range

Continued fraction of √n

√8,727,420 = [2954; (4, 1, 1, 7, 1, 1, 1, 1, 6, 1, 48, 2, 1, 2, 2, 32, 4, 1, 1, 1476, 1, 1, 4, 32, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
eight million seven hundred twenty-seven thousand four hundred twenty
Ordinal
8727420th
Binary
100001010010101101111100
Octal
41225574
Hexadecimal
0x852B7C
Base64
hSt8
One's complement
4,286,239,875 (32-bit)
Scientific notation
8.72742 × 10⁶
As a duration
8,727,420 s = 101 days, 17 minutes
In other bases
ternary (3) 121102101202210
quaternary (4) 201102231330
quinary (5) 4213234140
senary (6) 511020420
septenary (7) 134116242
nonary (9) 17371683
undecimal (11) 4a21049
duodecimal (12) 2b0a710
tridecimal (13) 1a67570
tetradecimal (14) 1232792
pentadecimal (15) b75d80

As an angle

8,727,420° = 24,242 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
八百七十二萬七千四百二十
Chinese (financial)
捌佰柒拾貳萬柒仟肆佰貳拾
In other modern scripts
Eastern Arabic ٨٧٢٧٤٢٠ Devanagari ८७२७४२० Bengali ৮৭২৭৪২০ Tamil ௮௭௨௭௪௨௦ Thai ๘๗๒๗๔๒๐ Tibetan ༨༧༢༧༤༢༠ Khmer ៨៧២៧៤២០ Lao ໘໗໒໗໔໒໐ Burmese ၈၇၂၇၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8727420, here are decompositions:

  • 7 + 8727413 = 8727420
  • 61 + 8727359 = 8727420
  • 71 + 8727349 = 8727420
  • 103 + 8727317 = 8727420
  • 137 + 8727283 = 8727420
  • 151 + 8727269 = 8727420
  • 157 + 8727263 = 8727420
  • 173 + 8727247 = 8727420

Showing the first eight; more decompositions exist.

Hex color
#852B7C
RGB(133, 43, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.133.43.124.

Address
0.133.43.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.133.43.124

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 8,727,420 and was likely granted around 2014.

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°.