1,294,332

2² × 3 × 13 × 8297

1,294,332 factors as 2^2 × 3 × 13 × 8297. Its 24 positive divisors give a proper-divisor sum of 1,958,484, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 8297

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,252,816

Proper Divisor Sum 1,958,484

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1294309 ← → #1294339

Radix Representation

Decimal	1294332
Binary	100111011111111111100 (21 bits)
Octal	0o4737774
Hexadecimal	0x13BFFC

Divisor Catalog (24)

Collatz Trajectory (142 steps to reach 1)

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

1,294,332 647,166 323,583 970,750 485,375 1,456,126 728,063 2,184,190 1,092,095 3,276,286 1,638,143 4,914,430 2,457,215 7,371,646 3,685,823 11,057,470 5,528,735 16,586,206 8,293,103 24,879,310 12,439,655 37,318,966 18,659,483 55,978,450 27,989,225 83,967,676 41,983,838 20,991,919 62,975,758 31,487,879 94,463,638 47,231,819 141,695,458 70,847,729 212,543,188 106,271,594 53,135,797 159,407,392 79,703,696 39,851,848 19,925,924 9,962,962 4,981,481 14,944,444 7,472,222 3,736,111 11,208,334 5,604,167 16,812,502 8,406,251 25,218,754 12,609,377 37,828,132 18,914,066 9,457,033 28,371,100 14,185,550 7,092,775 21,278,326 10,639,163

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