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3,900,975

3 × 52 × 13 × 4001
Deficient Odd Composite

3,900,975 factors as 3 × 5^2 × 13 × 4001. Its 24 positive divisors give a proper-divisor sum of 3,046,497, so this integer is deficient. The Collatz stopping time is 353 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 4001
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,947,472
Proper Divisor Sum 3,046,497
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3900943 ← → #3900989

Radix Representation

Decimal 3900975
Binary 1110111000011000101111 (22 bits)
Octal 0o16703057
Hexadecimal 0x3B862F

Divisor Catalog (24)

1 3 5 13 15 25 39 65 75 195 325 975 4,001 12,003 20,005 52,013 60,015 100,025 156,039 260,065 300,075 780,195 1,300,325 3,900,975

Collatz Trajectory (353 steps to reach 1)

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

3,900,975 11,702,926 5,851,463 17,554,390 8,777,195 26,331,586 13,165,793 39,497,380 19,748,690 9,874,345 29,623,036 14,811,518 7,405,759 22,217,278 11,108,639 33,325,918 16,662,959 49,988,878 24,994,439 74,983,318 37,491,659 112,474,978 56,237,489 168,712,468 84,356,234 42,178,117 126,534,352 63,267,176 31,633,588 15,816,794 7,908,397 23,725,192 11,862,596 5,931,298 2,965,649 8,896,948 4,448,474 2,224,237 6,672,712 3,336,356 1,668,178 834,089 2,502,268 1,251,134 625,567 1,876,702 938,351 2,815,054 1,407,527 4,222,582 2,111,291 6,333,874 3,166,937 9,500,812 4,750,406 2,375,203 7,125,610 3,562,805 10,688,416 5,344,208

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