7,965,158

2 × 53 × 163 × 461

Starting at 7,965,158, the Collatz iteration reaches 1 after 292 steps. The first transition is 3982579; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 53 × 163 × 461

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,274,416

Proper Divisor Sum 4,309,258

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7965151 ← → #7965173

Radix Representation

Decimal	7965158
Binary	11110011000100111100110 (23 bits)
Octal	0o36304746
Hexadecimal	0x7989E6

Divisor Catalog (16)

1 2 53 106 163 326 461 922 8,639 17,278 24,433 48,866 75,143 150,286 3,982,579 7,965,158

Collatz Trajectory (292 steps to reach 1)

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

7,965,158 3,982,579 11,947,738 5,973,869 17,921,608 8,960,804 4,480,402 2,240,201 6,720,604 3,360,302 1,680,151 5,040,454 2,520,227 7,560,682 3,780,341 11,341,024 5,670,512 2,835,256 1,417,628 708,814 354,407 1,063,222 531,611 1,594,834 797,417 2,392,252 1,196,126 598,063 1,794,190 897,095 2,691,286 1,345,643 4,036,930 2,018,465 6,055,396 3,027,698 1,513,849 4,541,548 2,270,774 1,135,387 3,406,162 1,703,081 5,109,244 2,554,622 1,277,311 3,831,934 1,915,967 5,747,902 2,873,951 8,621,854 4,310,927 12,932,782 6,466,391 19,399,174 9,699,587 29,098,762 14,549,381 43,648,144 21,824,072 10,912,036

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