7,468,107

3 × 79 × 31511

Starting at 7,468,107, the Collatz iteration reaches 1 after 111 steps. The first transition is 22404322; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 79 × 31511

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,083,840

Proper Divisor Sum 2,615,733

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7468103 ← → #7468129

Radix Representation

Decimal	7468107
Binary	11100011111010001001011 (23 bits)
Octal	0o34372113
Hexadecimal	0x71F44B

Divisor Catalog (8)

1 3 79 237 31,511 94,533 2,489,369 7,468,107

Collatz Trajectory (111 steps to reach 1)

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

7,468,107 22,404,322 11,202,161 33,606,484 16,803,242 8,401,621 25,204,864 12,602,432 6,301,216 3,150,608 1,575,304 787,652 393,826 196,913 590,740 295,370 147,685 443,056 221,528 110,764 55,382 27,691 83,074 41,537 124,612 62,306 31,153 93,460 46,730 23,365 70,096 35,048 17,524 8,762 4,381 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318

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