3,946,142

2 × 17 × 277 × 419

3,946,142 factors as 2 × 17 × 277 × 419. Its 16 positive divisors give a proper-divisor sum of 2,358,898, so this integer is deficient. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 2 × 17 × 277 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,305,040

Proper Divisor Sum 2,358,898

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3946141 ← → #3946157

Radix Representation

Decimal	3946142
Binary	1111000011011010011110 (22 bits)
Octal	0o17033236
Hexadecimal	0x3C369E

Divisor Catalog (16)

1 2 17 34 277 419 554 838 4,709 7,123 9,418 14,246 116,063 232,126 1,973,071 3,946,142

Collatz Trajectory (291 steps to reach 1)

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

3,946,142 1,973,071 5,919,214 2,959,607 8,878,822 4,439,411 13,318,234 6,659,117 19,977,352 9,988,676 4,994,338 2,497,169 7,491,508 3,745,754 1,872,877 5,618,632 2,809,316 1,404,658 702,329 2,106,988 1,053,494 526,747 1,580,242 790,121 2,370,364 1,185,182 592,591 1,777,774 888,887 2,666,662 1,333,331 3,999,994 1,999,997 5,999,992 2,999,996 1,499,998 749,999 2,249,998 1,124,999 3,374,998 1,687,499 5,062,498 2,531,249 7,593,748 3,796,874 1,898,437 5,695,312 2,847,656 1,423,828 711,914 355,957 1,067,872 533,936 266,968 133,484 66,742 33,371 100,114 50,057 150,172

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