7,975,425

3 × 5² × 43 × 2473

Starting at 7,975,425, the Collatz iteration reaches 1 after 230 steps. The first transition is 23926276; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 43 × 2473

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,498,144

Proper Divisor Sum 5,522,719

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7975423 ← → #7975433

Radix Representation

Decimal	7975425
Binary	11110011011001000000001 (23 bits)
Octal	0o36331001
Hexadecimal	0x79B201

Divisor Catalog (24)

1 3 5 15 25 43 75 129 215 645 1,075 2,473 3,225 7,419 12,365 37,095 61,825 106,339 185,475 319,017 531,695 1,595,085 2,658,475 7,975,425

Collatz Trajectory (230 steps to reach 1)

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

7,975,425 23,926,276 11,963,138 5,981,569 17,944,708 8,972,354 4,486,177 13,458,532 6,729,266 3,364,633 10,093,900 5,046,950 2,523,475 7,570,426 3,785,213 11,355,640 5,677,820 2,838,910 1,419,455 4,258,366 2,129,183 6,387,550 3,193,775 9,581,326 4,790,663 14,371,990 7,185,995 21,557,986 10,778,993 32,336,980 16,168,490 8,084,245 24,252,736 12,126,368 6,063,184 3,031,592 1,515,796 757,898 378,949 1,136,848 568,424 284,212 142,106 71,053 213,160 106,580 53,290 26,645 79,936 39,968 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406

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