4,133,965

5 × 11² × 6833

4,133,965 factors as 5 × 11^2 × 6833. Its 12 positive divisors give a proper-divisor sum of 1,319,567, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 5 × 11^2 × 6833

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,453,532

Proper Divisor Sum 1,319,567

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4133957 ← → #4133971

Radix Representation

Decimal	4133965
Binary	1111110001010001001101 (22 bits)
Octal	0o17612115
Hexadecimal	0x3F144D

Divisor Catalog (12)

1 5 11 55 121 605 6,833 34,165 75,163 375,815 826,793 4,133,965

Collatz Trajectory (167 steps to reach 1)

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

4,133,965 12,401,896 6,200,948 3,100,474 1,550,237 4,650,712 2,325,356 1,162,678 581,339 1,744,018 872,009 2,616,028 1,308,014 654,007 1,962,022 981,011 2,943,034 1,471,517 4,414,552 2,207,276 1,103,638 551,819 1,655,458 827,729 2,483,188 1,241,594 620,797 1,862,392 931,196 465,598 232,799 698,398 349,199 1,047,598 523,799 1,571,398 785,699 2,357,098 1,178,549 3,535,648 1,767,824 883,912 441,956 220,978 110,489 331,468 165,734 82,867 248,602 124,301 372,904 186,452 93,226 46,613 139,840 69,920 34,960 17,480 8,740 4,370

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