1,313,736

2³ × 3 × 19 × 43 × 67

1,313,736 is even and not a perfect square. Its factorization is 2^3 × 3 × 19 × 43 × 67 and its 64 divisors sum to 3,590,400.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 43 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 3,590,400

Proper Divisor Sum 2,276,664

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1313731 ← → #1313747

Radix Representation

Decimal	1313736
Binary	101000000101111001000 (21 bits)
Octal	0o5005710
Hexadecimal	0x140BC8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 19 24 38 43 57 67 76 86 114 129 134 152 172 201 228 258 268 344 402 456 516 536 804 817 1,032 1,273 1,608 1,634 2,451 2,546 2,881 3,268 3,819 4,902 5,092 5,762 6,536 7,638 8,643 9,804 10,184 11,524 15,276 17,286 19,608 23,048 30,552 34,572 54,739 69,144 109,478 164,217 218,956

Collatz Trajectory (217 steps to reach 1)

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

1,313,736 656,868 328,434 164,217 492,652 246,326 123,163 369,490 184,745 554,236 277,118 138,559 415,678 207,839 623,518 311,759 935,278 467,639 1,402,918 701,459 2,104,378 1,052,189 3,156,568 1,578,284 789,142 394,571 1,183,714 591,857 1,775,572 887,786 443,893 1,331,680 665,840 332,920 166,460 83,230 41,615 124,846 62,423 187,270 93,635 280,906 140,453 421,360 210,680 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997

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