7,607,456

2⁵ × 237733

Starting at 7,607,456, the Collatz iteration reaches 1 after 129 steps. The first transition is 3803728; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 237733

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,977,242

Proper Divisor Sum 7,369,786

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7607447 ← → #7607489

Radix Representation

Decimal	7607456
Binary	11101000001010010100000 (23 bits)
Octal	0o35012240
Hexadecimal	0x7414A0

Divisor Catalog (12)

1 2 4 8 16 32 237,733 475,466 950,932 1,901,864 3,803,728 7,607,456

Collatz Trajectory (129 steps to reach 1)

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

7,607,456 3,803,728 1,901,864 950,932 475,466 237,733 713,200 356,600 178,300 89,150 44,575 133,726 66,863 200,590 100,295 300,886 150,443 451,330 225,665 676,996 338,498 169,249 507,748 253,874 126,937 380,812 190,406 95,203 285,610 142,805 428,416 214,208 107,104 53,552 26,776 13,388 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050

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