7,791,812

2² × 7 × 278279

Starting at 7,791,812, the Collatz iteration reaches 1 after 124 steps. The first transition is 3895906; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 278279

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,583,680

Proper Divisor Sum 7,791,868

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7791799 ← → #7791829

Radix Representation

Decimal	7791812
Binary	11101101110010011000100 (23 bits)
Octal	0o35562304
Hexadecimal	0x76E4C4

Divisor Catalog (12)

1 2 4 7 14 28 278,279 556,558 1,113,116 1,947,953 3,895,906 7,791,812

Collatz Trajectory (124 steps to reach 1)

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

7,791,812 3,895,906 1,947,953 5,843,860 2,921,930 1,460,965 4,382,896 2,191,448 1,095,724 547,862 273,931 821,794 410,897 1,232,692 616,346 308,173 924,520 462,260 231,130 115,565 346,696 173,348 86,674 43,337 130,012 65,006 32,503 97,510 48,755 146,266 73,133 219,400 109,700 54,850 27,425 82,276 41,138 20,569 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242

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