8,779,116

2² × 3 × 731593

Starting at 8,779,116, the Collatz iteration reaches 1 after 150 steps. The first transition is 4389558; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 731593

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,484,632

Proper Divisor Sum 11,705,516

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8779091 ← → #8779117

Radix Representation

Decimal	8779116
Binary	100001011111010101101100 (24 bits)
Octal	0o41372554
Hexadecimal	0x85F56C

Divisor Catalog (12)

1 2 3 4 6 12 731,593 1,463,186 2,194,779 2,926,372 4,389,558 8,779,116

Collatz Trajectory (150 steps to reach 1)

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

8,779,116 4,389,558 2,194,779 6,584,338 3,292,169 9,876,508 4,938,254 2,469,127 7,407,382 3,703,691 11,111,074 5,555,537 16,666,612 8,333,306 4,166,653 12,499,960 6,249,980 3,124,990 1,562,495 4,687,486 2,343,743 7,031,230 3,515,615 10,546,846 5,273,423 15,820,270 7,910,135 23,730,406 11,865,203 35,595,610 17,797,805 53,393,416 26,696,708 13,348,354 6,674,177 20,022,532 10,011,266 5,005,633 15,016,900 7,508,450 3,754,225 11,262,676 5,631,338 2,815,669 8,447,008 4,223,504 2,111,752 1,055,876 527,938 263,969 791,908 395,954 197,977 593,932 296,966 148,483 445,450 222,725 668,176 334,088

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