λ
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6,914,768

24 × 7 × 107 × 577
Abundant Even Composite

6,914,768 factors as 2^4 × 7 × 107 × 577. Its 40 positive divisors give a proper-divisor sum of 8,566,384, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 107 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,481,152
Proper Divisor Sum 8,566,384
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6914759 ← → #6914771

Radix Representation

Decimal 6914768
Binary 11010011000001011010000 (23 bits)
Octal 0o32301320
Hexadecimal 0x6982D0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 107 112 214 428 577 749 856 1,154 1,498 1,712 2,308 2,996 4,039 4,616 5,992 8,078 9,232 11,984 16,156 32,312 61,739 64,624 123,478 246,956 432,173 493,912 864,346 987,824 1,728,692 3,457,384 6,914,768

Collatz Trajectory (85 steps to reach 1)

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

6,914,768 3,457,384 1,728,692 864,346 432,173 1,296,520 648,260 324,130 162,065 486,196 243,098 121,549 364,648 182,324 91,162 45,581 136,744 68,372 34,186 17,093 51,280 25,640 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205

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