2,984,656

2⁴ × 17 × 10973

Starting at 2,984,656, the Collatz iteration reaches 1 after 120 steps. The first transition is 1492328; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 17 × 10973

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 6,123,492

Proper Divisor Sum 3,138,836

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #2984629 ← → #2984671

Radix Representation

Decimal	2984656
Binary	1011011000101011010000 (22 bits)
Octal	0o13305320
Hexadecimal	0x2D8AD0

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 10,973 21,946 43,892 87,784 175,568 186,541 373,082 746,164 1,492,328 2,984,656

Collatz Trajectory (120 steps to reach 1)

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

2,984,656 1,492,328 746,164 373,082 186,541 559,624 279,812 139,906 69,953 209,860 104,930 52,465 157,396 78,698 39,349 118,048 59,024 29,512 14,756 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953

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