1,024,345

5 × 7² × 37 × 113

Starting at 1,024,345, the Collatz iteration reaches 1 after 90 steps. The first transition is 3073036; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 37 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,481,544

Proper Divisor Sum 457,199

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1024339 ← → #1024357

Radix Representation

Decimal	1024345
Binary	11111010000101011001 (20 bits)
Octal	0o3720531
Hexadecimal	0xFA159

Divisor Catalog (24)

1 5 7 35 37 49 113 185 245 259 565 791 1,295 1,813 3,955 4,181 5,537 9,065 20,905 27,685 29,267 146,335 204,869 1,024,345

Collatz Trajectory (90 steps to reach 1)

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

1,024,345 3,073,036 1,536,518 768,259 2,304,778 1,152,389 3,457,168 1,728,584 864,292 432,146 216,073 648,220 324,110 162,055 486,166 243,083 729,250 364,625 1,093,876 546,938 273,469 820,408 410,204 205,102 102,551 307,654 153,827 461,482 230,741 692,224 346,112 173,056 86,528 43,264 21,632 10,816 5,408 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093

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