7,215,978

2 × 3 × 7 × 11 × 15619

Starting at 7,215,978, the Collatz iteration reaches 1 after 142 steps. The first transition is 3607989; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 15619

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,994,240

Proper Divisor Sum 10,778,262

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7215961 ← → #7215979

Radix Representation

Decimal	7215978
Binary	11011100001101101101010 (23 bits)
Octal	0o33415552
Hexadecimal	0x6E1B6A

Divisor Catalog (32)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 15,619 31,238 46,857 93,714 109,333 171,809 218,666 327,999 343,618 515,427 655,998 1,030,854 1,202,663 2,405,326 3,607,989 7,215,978

Collatz Trajectory (142 steps to reach 1)

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

7,215,978 3,607,989 10,823,968 5,411,984 2,705,992 1,352,996 676,498 338,249 1,014,748 507,374 253,687 761,062 380,531 1,141,594 570,797 1,712,392 856,196 428,098 214,049 642,148 321,074 160,537 481,612 240,806 120,403 361,210 180,605 541,816 270,908 135,454 67,727 203,182 101,591 304,774 152,387 457,162 228,581 685,744 342,872 171,436 85,718 42,859 128,578 64,289 192,868 96,434 48,217 144,652 72,326 36,163 108,490 54,245 162,736 81,368 40,684 20,342 10,171 30,514 15,257 45,772

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