3,348,417

3 × 137 × 8147

3,348,417 factors as 3 × 137 × 8147. Its 8 positive divisors give a proper-divisor sum of 1,149,279, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3 × 137 × 8147

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,497,696

Proper Divisor Sum 1,149,279

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3348413 ← → #3348419

Radix Representation

Decimal	3348417
Binary	1100110001011111000001 (22 bits)
Octal	0o14613701
Hexadecimal	0x3317C1

Divisor Catalog (8)

1 3 137 411 8,147 24,441 1,116,139 3,348,417

Collatz Trajectory (159 steps to reach 1)

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

3,348,417 10,045,252 5,022,626 2,511,313 7,533,940 3,766,970 1,883,485 5,650,456 2,825,228 1,412,614 706,307 2,118,922 1,059,461 3,178,384 1,589,192 794,596 397,298 198,649 595,948 297,974 148,987 446,962 223,481 670,444 335,222 167,611 502,834 251,417 754,252 377,126 188,563 565,690 282,845 848,536 424,268 212,134 106,067 318,202 159,101 477,304 238,652 119,326 59,663 178,990 89,495 268,486 134,243 402,730 201,365 604,096 302,048 151,024 75,512 37,756 18,878 9,439 28,318 14,159 42,478 21,239

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