1,329,584

2⁴ × 23 × 3613

1,329,584 factors as 2^4 × 23 × 3613. Its 20 positive divisors give a proper-divisor sum of 1,359,232, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 3613

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 2,688,816

Proper Divisor Sum 1,359,232

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1329569 ← → #1329593

Radix Representation

Decimal	1329584
Binary	101000100100110110000 (21 bits)
Octal	0o5044660
Hexadecimal	0x1449B0

Divisor Catalog (20)

Collatz Trajectory (116 steps to reach 1)

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

1,329,584 664,792 332,396 166,198 83,099 249,298 124,649 373,948 186,974 93,487 280,462 140,231 420,694 210,347 631,042 315,521 946,564 473,282 236,641 709,924 354,962 177,481 532,444 266,222 133,111 399,334 199,667 599,002 299,501 898,504 449,252 224,626 112,313 336,940 168,470 84,235 252,706 126,353 379,060 189,530 94,765 284,296 142,148 71,074 35,537 106,612 53,306 26,653 79,960 39,980 19,990 9,995 29,986 14,993 44,980 22,490 11,245 33,736 16,868 8,434

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