1,350,440

2³ × 5 × 7² × 13 × 53

1,350,440 is even and not a perfect square. Its factorization is 2^3 × 5 × 7^2 × 13 × 53 and its 96 divisors sum to 3,878,280.

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 13 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 3,878,280

Proper Divisor Sum 2,527,840

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1350403 ← → #1350449

Radix Representation

Decimal	1350440
Binary	101001001101100101000 (21 bits)
Octal	0o5115450
Hexadecimal	0x149B28

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 53 56 65 70 91 98 104 106 130 140 182 196 212 245 260 265 280 364 371 392 424 455 490 520 530 637 689 728 742 910 980 1,060 1,274 1,378 1,484 1,820 1,855 1,960 2,120 2,548 2,597 2,756 2,968 3,185

Collatz Trajectory (155 steps to reach 1)

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

1,350,440 675,220 337,610 168,805 506,416 253,208 126,604 63,302 31,651 94,954 47,477 142,432 71,216 35,608 17,804 8,902 4,451 13,354 6,677 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456

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