4,066,985

5 × 13² × 4813

4,066,985 factors as 5 × 13^2 × 4813. Its 12 positive divisors give a proper-divisor sum of 1,218,787, so this integer is deficient. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 5 × 13^2 × 4813

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,285,772

Proper Divisor Sum 1,218,787

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4066981 ← → #4066987

Radix Representation

Decimal	4066985
Binary	1111100000111010101001 (22 bits)
Octal	0o17407251
Hexadecimal	0x3E0EA9

Divisor Catalog (12)

1 5 13 65 169 845 4,813 24,065 62,569 312,845 813,397 4,066,985

Collatz Trajectory (247 steps to reach 1)

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

4,066,985 12,200,956 6,100,478 3,050,239 9,150,718 4,575,359 13,726,078 6,863,039 20,589,118 10,294,559 30,883,678 15,441,839 46,325,518 23,162,759 69,488,278 34,744,139 104,232,418 52,116,209 156,348,628 78,174,314 39,087,157 117,261,472 58,630,736 29,315,368 14,657,684 7,328,842 3,664,421 10,993,264 5,496,632 2,748,316 1,374,158 687,079 2,061,238 1,030,619 3,091,858 1,545,929 4,637,788 2,318,894 1,159,447 3,478,342 1,739,171 5,217,514 2,608,757 7,826,272 3,913,136 1,956,568 978,284 489,142 244,571 733,714 366,857 1,100,572 550,286 275,143 825,430 412,715 1,238,146 619,073 1,857,220 928,610

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