4,010,284

2² × 31 × 32341

4,010,284 factors as 2^2 × 31 × 32341. Its 12 positive divisors give a proper-divisor sum of 3,234,324, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 32341

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,244,608

Proper Divisor Sum 3,234,324

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #4010269 ← → #4010297

Radix Representation

Decimal	4010284
Binary	1111010011000100101100 (22 bits)
Octal	0o17230454
Hexadecimal	0x3D312C

Divisor Catalog (12)

1 2 4 31 62 124 32,341 64,682 129,364 1,002,571 2,005,142 4,010,284

Collatz Trajectory (66 steps to reach 1)

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

4,010,284 2,005,142 1,002,571 3,007,714 1,503,857 4,511,572 2,255,786 1,127,893 3,383,680 1,691,840 845,920 422,960 211,480 105,740 52,870 26,435 79,306 39,653 118,960 59,480 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20

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