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Atlas › Integer Profiles › Node 7,645,840

7,645,840

24 × 5 × 31 × 3083
Abundant Even Composite

7,645,840 factors as 2^4 × 5 × 31 × 3083. Its 40 positive divisors give a proper-divisor sum of 10,710,128, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 31 × 3083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,355,968
Proper Divisor Sum 10,710,128
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7645837 ← → #7645843

Radix Representation

Decimal 7645840
Binary 11101001010101010010000 (23 bits)
Octal 0o35125220
Hexadecimal 0x74AA90

Divisor Catalog (40)

1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1,240 2,480 3,083 6,166 12,332 15,415 24,664 30,830 49,328 61,660 95,573 123,320 191,146 246,640 382,292 477,865 764,584 955,730 1,529,168 1,911,460 3,822,920 7,645,840

Collatz Trajectory (142 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,645,840 3,822,920 1,911,460 955,730 477,865 1,433,596 716,798 358,399 1,075,198 537,599 1,612,798 806,399 2,419,198 1,209,599 3,628,798 1,814,399 5,443,198 2,721,599 8,164,798 4,082,399 12,247,198 6,123,599 18,370,798 9,185,399 27,556,198 13,778,099 41,334,298 20,667,149 62,001,448 31,000,724 15,500,362 7,750,181 23,250,544 11,625,272 5,812,636 2,906,318 1,453,159 4,359,478 2,179,739 6,539,218 3,269,609 9,808,828 4,904,414 2,452,207 7,356,622 3,678,311 11,034,934 5,517,467 16,552,402 8,276,201 24,828,604 12,414,302 6,207,151 18,621,454 9,310,727 27,932,182 13,966,091 41,898,274 20,949,137 62,847,412

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