λ
Sequence Observatory

6,660,024

23 × 3 × 7 × 29 × 1367
Abundant Even Composite

Starting at 6,660,024, the Collatz iteration reaches 1 after 72 steps. The first transition is 3330012; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 29 × 1367
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,699,200
Proper Divisor Sum 13,039,176
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6660023 ← → #6660029

Radix Representation

Decimal 6660024
Binary 11001011001111110111000 (23 bits)
Octal 0o31317670
Hexadecimal 0x659FB8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1,218 1,367 1,624 2,436 2,734 4,101 4,872 5,468 8,202 9,569 10,936 16,404 19,138 28,707 32,808 38,276 39,643 57,414 76,552 79,286 114,828 118,929 158,572 229,656 237,858 277,501 317,144 475,716 555,002 832,503 951,432 1,110,004

Collatz Trajectory (72 steps to reach 1)

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

6,660,024 3,330,012 1,665,006 832,503 2,497,510 1,248,755 3,746,266 1,873,133 5,619,400 2,809,700 1,404,850 702,425 2,107,276 1,053,638 526,819 1,580,458 790,229 2,370,688 1,185,344 592,672 296,336 148,168 74,084 37,042 18,521 55,564 27,782 13,891 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34

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