3,958,461

3² × 13 × 23 × 1471

3,958,461 factors as 3^2 × 13 × 23 × 1471. Its 24 positive divisors give a proper-divisor sum of 2,471,235, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 23 × 1471

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,429,696

Proper Divisor Sum 2,471,235

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3958459 ← → #3958477

Radix Representation

Decimal	3958461
Binary	1111000110011010111101 (22 bits)
Octal	0o17063275
Hexadecimal	0x3C66BD

Divisor Catalog (24)

Collatz Trajectory (123 steps to reach 1)

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

3,958,461 11,875,384 5,937,692 2,968,846 1,484,423 4,453,270 2,226,635 6,679,906 3,339,953 10,019,860 5,009,930 2,504,965 7,514,896 3,757,448 1,878,724 939,362 469,681 1,409,044 704,522 352,261 1,056,784 528,392 264,196 132,098 66,049 198,148 99,074 49,537 148,612 74,306 37,153 111,460 55,730 27,865 83,596 41,798 20,899 62,698 31,349 94,048 47,024 23,512 11,756 5,878 2,939 8,818 4,409 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187

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