3,935,165

5 × 13² × 4657

3,935,165 factors as 5 × 13^2 × 4657. Its 12 positive divisors give a proper-divisor sum of 1,179,319, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 5 × 13^2 × 4657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,114,484

Proper Divisor Sum 1,179,319

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3935161 ← → #3935179

Radix Representation

Decimal	3935165
Binary	1111000000101110111101 (22 bits)
Octal	0o17005675
Hexadecimal	0x3C0BBD

Divisor Catalog (12)

1 5 13 65 169 845 4,657 23,285 60,541 302,705 787,033 3,935,165

Collatz Trajectory (146 steps to reach 1)

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

3,935,165 11,805,496 5,902,748 2,951,374 1,475,687 4,427,062 2,213,531 6,640,594 3,320,297 9,960,892 4,980,446 2,490,223 7,470,670 3,735,335 11,206,006 5,603,003 16,809,010 8,404,505 25,213,516 12,606,758 6,303,379 18,910,138 9,455,069 28,365,208 14,182,604 7,091,302 3,545,651 10,636,954 5,318,477 15,955,432 7,977,716 3,988,858 1,994,429 5,983,288 2,991,644 1,495,822 747,911 2,243,734 1,121,867 3,365,602 1,682,801 5,048,404 2,524,202 1,262,101 3,786,304 1,893,152 946,576 473,288 236,644 118,322 59,161 177,484 88,742 44,371 133,114 66,557 199,672 99,836 49,918 24,959

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