8,441,765

5 × 31 × 107 × 509

8,441,765 factors as 5 × 31 × 107 × 509. Its 16 positive divisors give a proper-divisor sum of 2,133,595, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 5 × 31 × 107 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,575,360

Proper Divisor Sum 2,133,595

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8441761 ← → #8441767

Radix Representation

Decimal	8441765
Binary	100000001100111110100101 (24 bits)
Octal	0o40147645
Hexadecimal	0x80CFA5

Divisor Catalog (16)

1 5 31 107 155 509 535 2,545 3,317 15,779 16,585 54,463 78,895 272,315 1,688,353 8,441,765

Collatz Trajectory (129 steps to reach 1)

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

8,441,765 25,325,296 12,662,648 6,331,324 3,165,662 1,582,831 4,748,494 2,374,247 7,122,742 3,561,371 10,684,114 5,342,057 16,026,172 8,013,086 4,006,543 12,019,630 6,009,815 18,029,446 9,014,723 27,044,170 13,522,085 40,566,256 20,283,128 10,141,564 5,070,782 2,535,391 7,606,174 3,803,087 11,409,262 5,704,631 17,113,894 8,556,947 25,670,842 12,835,421 38,506,264 19,253,132 9,626,566 4,813,283 14,439,850 7,219,925 21,659,776 10,829,888 5,414,944 2,707,472 1,353,736 676,868 338,434 169,217 507,652 253,826 126,913 380,740 190,370 95,185 285,556 142,778 71,389 214,168 107,084 53,542

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