λ
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7,690,664

23 × 17 × 193 × 293
Abundant Even Composite

7,690,664 factors as 2^3 × 17 × 193 × 293. Its 32 positive divisors give a proper-divisor sum of 7,709,056, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 193 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,399,720
Proper Divisor Sum 7,709,056
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7690663 ← → #7690691

Radix Representation

Decimal 7690664
Binary 11101010101100110101000 (23 bits)
Octal 0o35254650
Hexadecimal 0x7559A8

Divisor Catalog (32)

1 2 4 8 17 34 68 136 193 293 386 586 772 1,172 1,544 2,344 3,281 4,981 6,562 9,962 13,124 19,924 26,248 39,848 56,549 113,098 226,196 452,392 961,333 1,922,666 3,845,332 7,690,664

Collatz Trajectory (72 steps to reach 1)

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

7,690,664 3,845,332 1,922,666 961,333 2,884,000 1,442,000 721,000 360,500 180,250 90,125 270,376 135,188 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227

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