8,020,420

2² × 5 × 41 × 9781

Starting at 8,020,420, the Collatz iteration reaches 1 after 67 steps. The first transition is 4010210; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 41 × 9781

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,255,448

Proper Divisor Sum 9,235,028

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #8020393 ← → #8020423

Radix Representation

Decimal	8020420
Binary	11110100110000111000100 (23 bits)
Octal	0o36460704
Hexadecimal	0x7A61C4

Divisor Catalog (24)

1 2 4 5 10 20 41 82 164 205 410 820 9,781 19,562 39,124 48,905 97,810 195,620 401,021 802,042 1,604,084 2,005,105 4,010,210 8,020,420

Collatz Trajectory (67 steps to reach 1)

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

8,020,420 4,010,210 2,005,105 6,015,316 3,007,658 1,503,829 4,511,488 2,255,744 1,127,872 563,936 281,968 140,984 70,492 35,246 17,623 52,870 26,435 79,306 39,653 118,960 59,480 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40

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