40,965,747

3 × 863 × 15823

40,965,747 factors as 3 × 863 × 15823. Its 8 positive divisors give a proper-divisor sum of 13,721,997, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 3 × 863 × 15823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 54,687,744

Proper Divisor Sum 13,721,997

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #40965703 ← → #40965751

Radix Representation

Decimal	40965747
Binary	10011100010001011001110011 (26 bits)
Octal	0o234213163
Hexadecimal	0x2711673

Divisor Catalog (8)

1 3 863 2,589 15,823 47,469 13,655,249 40,965,747

Collatz Trajectory (253 steps to reach 1)

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

40,965,747 122,897,242 61,448,621 184,345,864 92,172,932 46,086,466 23,043,233 69,129,700 34,564,850 17,282,425 51,847,276 25,923,638 12,961,819 38,885,458 19,442,729 58,328,188 29,164,094 14,582,047 43,746,142 21,873,071 65,619,214 32,809,607 98,428,822 49,214,411 147,643,234 73,821,617 221,464,852 110,732,426 55,366,213 166,098,640 83,049,320 41,524,660 20,762,330 10,381,165 31,143,496 15,571,748 7,785,874 3,892,937 11,678,812 5,839,406 2,919,703 8,759,110 4,379,555 13,138,666 6,569,333 19,708,000 9,854,000 4,927,000 2,463,500 1,231,750 615,875 1,847,626 923,813 2,771,440 1,385,720 692,860 346,430 173,215 519,646 259,823

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