7,428,578

2 × 317 × 11717

Starting at 7,428,578, the Collatz iteration reaches 1 after 173 steps. The first transition is 3714289; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 317 × 11717

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,178,972

Proper Divisor Sum 3,750,394

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7428571 ← → #7428581

Radix Representation

Decimal	7428578
Binary	11100010101100111100010 (23 bits)
Octal	0o34254742
Hexadecimal	0x7159E2

Divisor Catalog (8)

1 2 317 634 11,717 23,434 3,714,289 7,428,578

Collatz Trajectory (173 steps to reach 1)

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

7,428,578 3,714,289 11,142,868 5,571,434 2,785,717 8,357,152 4,178,576 2,089,288 1,044,644 522,322 261,161 783,484 391,742 195,871 587,614 293,807 881,422 440,711 1,322,134 661,067 1,983,202 991,601 2,974,804 1,487,402 743,701 2,231,104 1,115,552 557,776 278,888 139,444 69,722 34,861 104,584 52,292 26,146 13,073 39,220 19,610 9,805 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220

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