4,042,348

2² × 61 × 16567

4,042,348 factors as 2^2 × 61 × 16567. Its 12 positive divisors give a proper-divisor sum of 3,148,164, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 61 × 16567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,190,512

Proper Divisor Sum 3,148,164

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4042343 ← → #4042391

Radix Representation

Decimal	4042348
Binary	1111011010111001101100 (22 bits)
Octal	0o17327154
Hexadecimal	0x3DAE6C

Divisor Catalog (12)

1 2 4 61 122 244 16,567 33,134 66,268 1,010,587 2,021,174 4,042,348

Collatz Trajectory (185 steps to reach 1)

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

4,042,348 2,021,174 1,010,587 3,031,762 1,515,881 4,547,644 2,273,822 1,136,911 3,410,734 1,705,367 5,116,102 2,558,051 7,674,154 3,837,077 11,511,232 5,755,616 2,877,808 1,438,904 719,452 359,726 179,863 539,590 269,795 809,386 404,693 1,214,080 607,040 303,520 151,760 75,880 37,940 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283

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