7,975,933

7 × 61 × 18679

Starting at 7,975,933, the Collatz iteration reaches 1 after 155 steps. The first transition is 23927800; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 61 × 18679

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,265,280

Proper Divisor Sum 1,289,347

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7975921 ← → #7975937

Radix Representation

Decimal	7975933
Binary	11110011011001111111101 (23 bits)
Octal	0o36331775
Hexadecimal	0x79B3FD

Divisor Catalog (8)

1 7 61 427 18,679 130,753 1,139,419 7,975,933

Collatz Trajectory (155 steps to reach 1)

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

7,975,933 23,927,800 11,963,900 5,981,950 2,990,975 8,972,926 4,486,463 13,459,390 6,729,695 20,189,086 10,094,543 30,283,630 15,141,815 45,425,446 22,712,723 68,138,170 34,069,085 102,207,256 51,103,628 25,551,814 12,775,907 38,327,722 19,163,861 57,491,584 28,745,792 14,372,896 7,186,448 3,593,224 1,796,612 898,306 449,153 1,347,460 673,730 336,865 1,010,596 505,298 252,649 757,948 378,974 189,487 568,462 284,231 852,694 426,347 1,279,042 639,521 1,918,564 959,282 479,641 1,438,924 719,462 359,731 1,079,194 539,597 1,618,792 809,396 404,698 202,349 607,048 303,524

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