787,003

7 × 112429

Starting at 787,003, the Collatz iteration reaches 1 after 100 steps. The first transition is 2361010; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 112429

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 899,440

Proper Divisor Sum 112,437

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #786983 ← → #787021

Radix Representation

Decimal	787003
Binary	11000000001000111011 (20 bits)
Octal	0o3001073
Hexadecimal	0xC023B

Divisor Catalog (4)

1 7 112,429 787,003

Collatz Trajectory (100 steps to reach 1)

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

787,003 2,361,010 1,180,505 3,541,516 1,770,758 885,379 2,656,138 1,328,069 3,984,208 1,992,104 996,052 498,026 249,013 747,040 373,520 186,760 93,380 46,690 23,345 70,036 35,018 17,509 52,528 26,264 13,132 6,566 3,283 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836

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