λ
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6,587,686

2 × 7 × 31 × 43 × 353
Deficient Even Composite

6,587,686 factors as 2 × 7 × 31 × 43 × 353. Its 32 positive divisors give a proper-divisor sum of 5,374,682, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2 × 7 × 31 × 43 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,962,368
Proper Divisor Sum 5,374,682
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #6587657 ← → #6587689

Radix Representation

Decimal 6587686
Binary 11001001000010100100110 (23 bits)
Octal 0o31102446
Hexadecimal 0x648526

Divisor Catalog (32)

1 2 7 14 31 43 62 86 217 301 353 434 602 706 1,333 2,471 2,666 4,942 9,331 10,943 15,179 18,662 21,886 30,358 76,601 106,253 153,202 212,506 470,549 941,098 3,293,843 6,587,686

Collatz Trajectory (121 steps to reach 1)

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

6,587,686 3,293,843 9,881,530 4,940,765 14,822,296 7,411,148 3,705,574 1,852,787 5,558,362 2,779,181 8,337,544 4,168,772 2,084,386 1,042,193 3,126,580 1,563,290 781,645 2,344,936 1,172,468 586,234 293,117 879,352 439,676 219,838 109,919 329,758 164,879 494,638 247,319 741,958 370,979 1,112,938 556,469 1,669,408 834,704 417,352 208,676 104,338 52,169 156,508 78,254 39,127 117,382 58,691 176,074 88,037 264,112 132,056 66,028 33,014 16,507 49,522 24,761 74,284 37,142 18,571 55,714 27,857 83,572 41,786

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