4,642,005

3 × 5 × 53 × 5839

4,642,005 factors as 3 × 5 × 53 × 5839. Its 16 positive divisors give a proper-divisor sum of 2,926,635, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 3 × 5 × 53 × 5839

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,568,640

Proper Divisor Sum 2,926,635

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4641991 ← → #4642009

Radix Representation

Decimal	4642005
Binary	10001101101010011010101 (23 bits)
Octal	0o21552325
Hexadecimal	0x46D4D5

Divisor Catalog (16)

1 3 5 15 53 159 265 795 5,839 17,517 29,195 87,585 309,467 928,401 1,547,335 4,642,005

Collatz Trajectory (131 steps to reach 1)

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

4,642,005 13,926,016 6,963,008 3,481,504 1,740,752 870,376 435,188 217,594 108,797 326,392 163,196 81,598 40,799 122,398 61,199 183,598 91,799 275,398 137,699 413,098 206,549 619,648 309,824 154,912 77,456 38,728 19,364 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740

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