λ
Math Directory

3,325,496

23 × 415687
Deficient Even Composite

3,325,496 factors as 2^3 × 415687. Its 8 positive divisors give a proper-divisor sum of 2,909,824, so this integer is deficient. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 2^3 × 415687
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,235,320
Proper Divisor Sum 2,909,824
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3325457 ← → #3325519

Radix Representation

Decimal 3325496
Binary 1100101011111000111000 (22 bits)
Octal 0o14537070
Hexadecimal 0x32BE38

Divisor Catalog (8)

1 2 4 8 415,687 831,374 1,662,748 3,325,496

Collatz Trajectory (252 steps to reach 1)

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

3,325,496 1,662,748 831,374 415,687 1,247,062 623,531 1,870,594 935,297 2,805,892 1,402,946 701,473 2,104,420 1,052,210 526,105 1,578,316 789,158 394,579 1,183,738 591,869 1,775,608 887,804 443,902 221,951 665,854 332,927 998,782 499,391 1,498,174 749,087 2,247,262 1,123,631 3,370,894 1,685,447 5,056,342 2,528,171 7,584,514 3,792,257 11,376,772 5,688,386 2,844,193 8,532,580 4,266,290 2,133,145 6,399,436 3,199,718 1,599,859 4,799,578 2,399,789 7,199,368 3,599,684 1,799,842 899,921 2,699,764 1,349,882 674,941 2,024,824 1,012,412 506,206 253,103 759,310

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