1,036,728

2³ × 3² × 7 × 11² × 17

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 11^2 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 3,734,640

Proper Divisor Sum 2,697,912

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1036681 ← → #1036729

Radix Representation

Decimal	1036728
Binary	11111101000110111000 (20 bits)
Octal	0o3750670
Hexadecimal	0xFD1B8

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 11 12 14 17 18 21 22 24 28 33 34 36 42 44 51 56 63 66 68 72 77 84 88 99 102 119 121 126 132 136 153 154 168 187 198 204 231 238 242 252 264 306 308 357 363 374 396 408 462 476 484 504

Collatz Trajectory (152 steps to reach 1)

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

1,036,728 518,364 259,182 129,591 388,774 194,387 583,162 291,581 874,744 437,372 218,686 109,343 328,030 164,015 492,046 246,023 738,070 369,035 1,107,106 553,553 1,660,660 830,330 415,165 1,245,496 622,748 311,374 155,687 467,062 233,531 700,594 350,297 1,050,892 525,446 262,723 788,170 394,085 1,182,256 591,128 295,564 147,782 73,891 221,674 110,837 332,512 166,256 83,128 41,564 20,782 10,391 31,174 15,587 46,762 23,381 70,144 35,072 17,536 8,768 4,384 2,192 1,096

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