7,961,890

2 × 5 × 796189

Starting at 7,961,890, the Collatz iteration reaches 1 after 186 steps. The first transition is 3980945; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 796189

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,331,420

Proper Divisor Sum 6,369,530

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7961881 ← → #7961929

Radix Representation

Decimal	7961890
Binary	11110010111110100100010 (23 bits)
Octal	0o36276442
Hexadecimal	0x797D22

Divisor Catalog (8)

1 2 5 10 796,189 1,592,378 3,980,945 7,961,890

Collatz Trajectory (186 steps to reach 1)

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

7,961,890 3,980,945 11,942,836 5,971,418 2,985,709 8,957,128 4,478,564 2,239,282 1,119,641 3,358,924 1,679,462 839,731 2,519,194 1,259,597 3,778,792 1,889,396 944,698 472,349 1,417,048 708,524 354,262 177,131 531,394 265,697 797,092 398,546 199,273 597,820 298,910 149,455 448,366 224,183 672,550 336,275 1,008,826 504,413 1,513,240 756,620 378,310 189,155 567,466 283,733 851,200 425,600 212,800 106,400 53,200 26,600 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422

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