7,250,278

2 × 7 × 517877

Starting at 7,250,278, the Collatz iteration reaches 1 after 111 steps. The first transition is 3625139; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 517877

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,429,072

Proper Divisor Sum 5,178,794

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7250263 ← → #7250281

Radix Representation

Decimal	7250278
Binary	11011101010000101100110 (23 bits)
Octal	0o33520546
Hexadecimal	0x6EA166

Divisor Catalog (8)

1 2 7 14 517,877 1,035,754 3,625,139 7,250,278

Collatz Trajectory (111 steps to reach 1)

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

7,250,278 3,625,139 10,875,418 5,437,709 16,313,128 8,156,564 4,078,282 2,039,141 6,117,424 3,058,712 1,529,356 764,678 382,339 1,147,018 573,509 1,720,528 860,264 430,132 215,066 107,533 322,600 161,300 80,650 40,325 120,976 60,488 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282

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