1,002,182

2 × 29 × 37 × 467

1,002,182 factors as 2 × 29 × 37 × 467. Its 16 positive divisors give a proper-divisor sum of 598,378, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2 × 29 × 37 × 467

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,600,560

Proper Divisor Sum 598,378

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #1002173 ← → #1002191

Radix Representation

Decimal	1002182
Binary	11110100101011000110 (20 bits)
Octal	0o3645306
Hexadecimal	0xF4AC6

Divisor Catalog (16)

1 2 29 37 58 74 467 934 1,073 2,146 13,543 17,279 27,086 34,558 501,091 1,002,182

Collatz Trajectory (139 steps to reach 1)

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

1,002,182 501,091 1,503,274 751,637 2,254,912 1,127,456 563,728 281,864 140,932 70,466 35,233 105,700 52,850 26,425 79,276 39,638 19,819 59,458 29,729 89,188 44,594 22,297 66,892 33,446 16,723 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150

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