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8,742,000

8,742,000 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.).

8,742,000 (eight million seven hundred forty-two thousand) is an even 7-digit number. It is a composite number with 160 divisors, and factors as 2⁴ × 3 × 5³ × 31 × 47. Its proper divisors sum to 20,970,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x856470.

Abundant Number Gapful Number Happy Number Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
24 bits
Reversed
2,478
Square (n²)
76,422,564,000,000
Divisor count
160
σ(n) — sum of divisors
29,712,384
φ(n) — Euler's totient
2,208,000
Sum of prime factors
104

Primality

Prime factorization: 2 4 × 3 × 5 3 × 31 × 47

Nearest primes: 8,741,989 (−11) · 8,742,011 (+11)

Divisors & multiples

All divisors (160)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 31 · 40 · 47 · 48 · 50 · 60 · 62 · 75 · 80 · 93 · 94 · 100 · 120 · 124 · 125 · 141 · 150 · 155 · 186 · 188 · 200 · 235 · 240 · 248 · 250 · 282 · 300 · 310 · 372 · 375 · 376 · 400 · 465 · 470 · 496 · 500 · 564 · 600 · 620 · 705 · 744 · 750 · 752 · 775 · 930 · 940 · 1000 · 1128 · 1175 · 1200 · 1240 · 1410 · 1457 · 1488 · 1500 · 1550 · 1860 · 1880 · 2000 · 2256 · 2325 · 2350 · 2480 · 2820 · 2914 · 3000 · 3100 · 3525 · 3720 · 3760 · 3875 · 4371 · 4650 · 4700 · 5640 · 5828 · 5875 · 6000 · 6200 · 7050 · 7285 · 7440 · 7750 · 8742 · 9300 · 9400 · 11280 · 11625 · 11656 · 11750 · 12400 · 14100 · 14570 · 15500 · 17484 · 17625 · 18600 · 18800 · 21855 · 23250 · 23312 · 23500 · 28200 · 29140 · 31000 · 34968 · 35250 · 36425 · 37200 · 43710 · 46500 · 47000 · 56400 · 58280 · 62000 · 69936 · 70500 · 72850 · 87420 · 93000 · 94000 · 109275 · 116560 · 141000 · 145700 · 174840 · 182125 · 186000 · 218550 · 282000 · 291400 · 349680 · 364250 · 437100 · 546375 · 582800 · 728500 · 874200 · 1092750 · 1457000 · 1748400 · 2185500 · 2914000 · 4371000 (half) · 8742000
Aliquot sum (sum of proper divisors): 20,970,384
Factor pairs (a × b = 8,742,000)
1 × 8742000
2 × 4371000
3 × 2914000
4 × 2185500
5 × 1748400
6 × 1457000
8 × 1092750
10 × 874200
12 × 728500
15 × 582800
16 × 546375
20 × 437100
24 × 364250
25 × 349680
30 × 291400
31 × 282000
40 × 218550
47 × 186000
48 × 182125
50 × 174840
60 × 145700
62 × 141000
75 × 116560
80 × 109275
93 × 94000
94 × 93000
100 × 87420
120 × 72850
124 × 70500
125 × 69936
141 × 62000
150 × 58280
155 × 56400
186 × 47000
188 × 46500
200 × 43710
235 × 37200
240 × 36425
248 × 35250
250 × 34968
282 × 31000
300 × 29140
310 × 28200
372 × 23500
375 × 23312
376 × 23250
400 × 21855
465 × 18800
470 × 18600
496 × 17625
500 × 17484
564 × 15500
600 × 14570
620 × 14100
705 × 12400
744 × 11750
750 × 11656
752 × 11625
775 × 11280
930 × 9400
940 × 9300
1000 × 8742
1128 × 7750
1175 × 7440
1200 × 7285
1240 × 7050
1410 × 6200
1457 × 6000
1488 × 5875
1500 × 5828
1550 × 5640
1860 × 4700
1880 × 4650
2000 × 4371
2256 × 3875
2325 × 3760
2350 × 3720
2480 × 3525
2820 × 3100
2914 × 3000
First multiples
8,742,000 · 17,484,000 (double) · 26,226,000 · 34,968,000 · 43,710,000 · 52,452,000 · 61,194,000 · 69,936,000 · 78,678,000 · 87,420,000

Sums & aliquot sequence

As consecutive integers: 2,913,999 + 2,914,000 + 2,914,001 1,748,398 + 1,748,399 + 1,748,400 + 1,748,401 + 1,748,402 582,793 + 582,794 + … + 582,807 349,668 + 349,669 + … + 349,692
Aliquot sequence: 8,742,000 20,970,384 38,311,536 63,856,528 64,016,054 40,487,266 20,924,990 16,823,170 23,396,030 28,443,970 22,755,194 19,800,262 10,082,834 5,041,420 5,676,644 4,257,490 3,848,990 — unresolved within range

Continued fraction of √n

√8,742,000 = [2956; (1, 2, 5, 23, 1, 1, 3, 1, 1, 2, 33, 4, 1, 3, 1, 13, 1, 119, 1, 2, 1, 48, 8, 4, …)]

Representations

In words
eight million seven hundred forty-two thousand
Ordinal
8742000th
Binary
100001010110010001110000
Octal
41262160
Hexadecimal
0x856470
Base64
hWRw
One's complement
4,286,225,295 (32-bit)
Scientific notation
8.742 × 10⁶
As a duration
8,742,000 s = 101 days, 4 hours, 20 minutes
In other bases
ternary (3) 121110010202210
quaternary (4) 201112101300
quinary (5) 4214221000
senary (6) 511212120
septenary (7) 134206611
nonary (9) 17403683
undecimal (11) 4a30aa3
duodecimal (12) 2b17040
tridecimal (13) 1a710a7
tetradecimal (14) 1237c08
pentadecimal (15) b7a350

As an angle

8,742,000° = 24,283 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓆼𓆼
Chinese
八百七十四萬二千
Chinese (financial)
捌佰柒拾肆萬貳仟
In other modern scripts
Eastern Arabic ٨٧٤٢٠٠٠ Devanagari ८७४२००० Bengali ৮৭৪২০০০ Tamil ௮௭௪௨௦௦௦ Thai ๘๗๔๒๐๐๐ Tibetan ༨༧༤༢༠༠༠ Khmer ៨៧៤២០០០ Lao ໘໗໔໒໐໐໐ Burmese ၈၇၄၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8742000, here are decompositions:

  • 11 + 8741989 = 8742000
  • 13 + 8741987 = 8742000
  • 17 + 8741983 = 8742000
  • 23 + 8741977 = 8742000
  • 53 + 8741947 = 8742000
  • 67 + 8741933 = 8742000
  • 89 + 8741911 = 8742000
  • 139 + 8741861 = 8742000

Showing the first eight; more decompositions exist.

Hex color
#856470
RGB(133, 100, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.133.100.112.

Address
0.133.100.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.133.100.112

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 8,742,000 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°.