8,020,722

2 × 3 × 863 × 1549

Starting at 8,020,722, the Collatz iteration reaches 1 after 279 steps. The first transition is 4010361; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 863 × 1549

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,070,400

Proper Divisor Sum 8,049,678

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8020709 ← → #8020751

Radix Representation

Decimal	8020722
Binary	11110100110001011110010 (23 bits)
Octal	0o36461362
Hexadecimal	0x7A62F2

Divisor Catalog (16)

1 2 3 6 863 1,549 1,726 2,589 3,098 4,647 5,178 9,294 1,336,787 2,673,574 4,010,361 8,020,722

Collatz Trajectory (279 steps to reach 1)

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

8,020,722 4,010,361 12,031,084 6,015,542 3,007,771 9,023,314 4,511,657 13,534,972 6,767,486 3,383,743 10,151,230 5,075,615 15,226,846 7,613,423 22,840,270 11,420,135 34,260,406 17,130,203 51,390,610 25,695,305 77,085,916 38,542,958 19,271,479 57,814,438 28,907,219 86,721,658 43,360,829 130,082,488 65,041,244 32,520,622 16,260,311 48,780,934 24,390,467 73,171,402 36,585,701 109,757,104 54,878,552 27,439,276 13,719,638 6,859,819 20,579,458 10,289,729 30,869,188 15,434,594 7,717,297 23,151,892 11,575,946 5,787,973 17,363,920 8,681,960 4,340,980 2,170,490 1,085,245 3,255,736 1,627,868 813,934 406,967 1,220,902 610,451 1,831,354

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