3,641,978

2 × 17² × 6301

3,641,978 factors as 2 × 17^2 × 6301. Its 12 positive divisors give a proper-divisor sum of 2,162,164, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 17^2 × 6301

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,804,142

Proper Divisor Sum 2,162,164

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3641951 ← → #3641987

Radix Representation

Decimal	3641978
Binary	1101111001001001111010 (22 bits)
Octal	0o15711172
Hexadecimal	0x37927A

Divisor Catalog (12)

1 2 17 34 289 578 6,301 12,602 107,117 214,234 1,820,989 3,641,978

Collatz Trajectory (159 steps to reach 1)

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

3,641,978 1,820,989 5,462,968 2,731,484 1,365,742 682,871 2,048,614 1,024,307 3,072,922 1,536,461 4,609,384 2,304,692 1,152,346 576,173 1,728,520 864,260 432,130 216,065 648,196 324,098 162,049 486,148 243,074 121,537 364,612 182,306 91,153 273,460 136,730 68,365 205,096 102,548 51,274 25,637 76,912 38,456 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107

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