4,003,532

2² × 13 × 76991

4,003,532 factors as 2^2 × 13 × 76991. Its 12 positive divisors give a proper-divisor sum of 3,541,684, so this integer is deficient. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 76991

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,545,216

Proper Divisor Sum 3,541,684

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #4003529 ← → #4003577

Radix Representation

Decimal	4003532
Binary	1111010001011011001100 (22 bits)
Octal	0o17213314
Hexadecimal	0x3D16CC

Divisor Catalog (12)

1 2 4 13 26 52 76,991 153,982 307,964 1,000,883 2,001,766 4,003,532

Collatz Trajectory (260 steps to reach 1)

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

4,003,532 2,001,766 1,000,883 3,002,650 1,501,325 4,503,976 2,251,988 1,125,994 562,997 1,688,992 844,496 422,248 211,124 105,562 52,781 158,344 79,172 39,586 19,793 59,380 29,690 14,845 44,536 22,268 11,134 5,567 16,702 8,351 25,054 12,527 37,582 18,791 56,374 28,187 84,562 42,281 126,844 63,422 31,711 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392

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