612,417

3 × 13 × 41 × 383

612,417 factors as 3 × 13 × 41 × 383. Its 16 positive divisors give a proper-divisor sum of 290,751, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 3 × 13 × 41 × 383

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 903,168

Proper Divisor Sum 290,751

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #612407 ← → #612439

Radix Representation

Decimal	612417
Binary	10010101100001000001 (20 bits)
Octal	0o2254101
Hexadecimal	0x95841

Divisor Catalog (16)

1 3 13 39 41 123 383 533 1,149 1,599 4,979 14,937 15,703 47,109 204,139 612,417

Collatz Trajectory (84 steps to reach 1)

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

612,417 1,837,252 918,626 459,313 1,377,940 688,970 344,485 1,033,456 516,728 258,364 129,182 64,591 193,774 96,887 290,662 145,331 435,994 217,997 653,992 326,996 163,498 81,749 245,248 122,624 61,312 30,656 15,328 7,664 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650

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