7,106,586

2 × 3 × 23² × 2239

Starting at 7,106,586, the Collatz iteration reaches 1 after 98 steps. The first transition is 3553293; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 23^2 × 2239

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,864,640

Proper Divisor Sum 7,758,054

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7106581 ← → #7106591

Radix Representation

Decimal	7106586
Binary	11011000111000000011010 (23 bits)
Octal	0o33070032
Hexadecimal	0x6C701A

Divisor Catalog (24)

1 2 3 6 23 46 69 138 529 1,058 1,587 2,239 3,174 4,478 6,717 13,434 51,497 102,994 154,491 308,982 1,184,431 2,368,862 3,553,293 7,106,586

Collatz Trajectory (98 steps to reach 1)

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

7,106,586 3,553,293 10,659,880 5,329,940 2,664,970 1,332,485 3,997,456 1,998,728 999,364 499,682 249,841 749,524 374,762 187,381 562,144 281,072 140,536 70,268 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836 418 209

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