7,992,427

173 × 46199

Starting at 7,992,427, the Collatz iteration reaches 1 after 116 steps. The first transition is 23977282; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 173 × 46199

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,038,800

Proper Divisor Sum 46,373

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7992421 ← → #7992463

Radix Representation

Decimal	7992427
Binary	11110011111010001101011 (23 bits)
Octal	0o36372153
Hexadecimal	0x79F46B

Divisor Catalog (4)

1 173 46,199 7,992,427

Collatz Trajectory (116 steps to reach 1)

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

7,992,427 23,977,282 11,988,641 35,965,924 17,982,962 8,991,481 26,974,444 13,487,222 6,743,611 20,230,834 10,115,417 30,346,252 15,173,126 7,586,563 22,759,690 11,379,845 34,139,536 17,069,768 8,534,884 4,267,442 2,133,721 6,401,164 3,200,582 1,600,291 4,800,874 2,400,437 7,201,312 3,600,656 1,800,328 900,164 450,082 225,041 675,124 337,562 168,781 506,344 253,172 126,586 63,293 189,880 94,940 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696

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