7,297,964

2² × 17 × 107323

Starting at 7,297,964, the Collatz iteration reaches 1 after 173 steps. The first transition is 3648982; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 107323

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,522,824

Proper Divisor Sum 6,224,860

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7297963 ← → #7297967

Radix Representation

Decimal	7297964
Binary	11011110101101110101100 (23 bits)
Octal	0o33655654
Hexadecimal	0x6F5BAC

Divisor Catalog (12)

1 2 4 17 34 68 107,323 214,646 429,292 1,824,491 3,648,982 7,297,964

Collatz Trajectory (173 steps to reach 1)

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

7,297,964 3,648,982 1,824,491 5,473,474 2,736,737 8,210,212 4,105,106 2,052,553 6,157,660 3,078,830 1,539,415 4,618,246 2,309,123 6,927,370 3,463,685 10,391,056 5,195,528 2,597,764 1,298,882 649,441 1,948,324 974,162 487,081 1,461,244 730,622 365,311 1,095,934 547,967 1,643,902 821,951 2,465,854 1,232,927 3,698,782 1,849,391 5,548,174 2,774,087 8,322,262 4,161,131 12,483,394 6,241,697 18,725,092 9,362,546 4,681,273 14,043,820 7,021,910 3,510,955 10,532,866 5,266,433 15,799,300 7,899,650 3,949,825 11,849,476 5,924,738 2,962,369 8,887,108 4,443,554 2,221,777 6,665,332 3,332,666 1,666,333

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