772,405

5 × 241 × 641

772,405 factors as 5 × 241 × 641. Its 8 positive divisors give a proper-divisor sum of 159,779, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 5 × 241 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 932,184

Proper Divisor Sum 159,779

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #772403 ← → #772439

Radix Representation

Decimal	772405
Binary	10111100100100110101 (20 bits)
Octal	0o2744465
Hexadecimal	0xBC935

Divisor Catalog (8)

1 5 241 641 1,205 3,205 154,481 772,405

Collatz Trajectory (100 steps to reach 1)

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

772,405 2,317,216 1,158,608 579,304 289,652 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817

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