7,645,845

3 × 5 × 509723

7,645,845 factors as 3 × 5 × 509723. Its 8 positive divisors give a proper-divisor sum of 4,587,531, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3 × 5 × 509723

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,233,376

Proper Divisor Sum 4,587,531

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7645843 ← → #7645853

Radix Representation

Decimal	7645845
Binary	11101001010101010010101 (23 bits)
Octal	0o35125225
Hexadecimal	0x74AA95

Divisor Catalog (8)

1 3 5 15 509,723 1,529,169 2,548,615 7,645,845

Collatz Trajectory (142 steps to reach 1)

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

7,645,845 22,937,536 11,468,768 5,734,384 2,867,192 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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