λ
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6,586,965

32 × 5 × 7 × 11 × 1901
Abundant Odd Composite

6,586,965 factors as 3^2 × 5 × 7 × 11 × 1901. Its 48 positive divisors give a proper-divisor sum of 7,655,211, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 11 × 1901
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,242,176
Proper Divisor Sum 7,655,211
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6586961 ← → #6586991

Radix Representation

Decimal 6586965
Binary 11001001000001001010101 (23 bits)
Octal 0o31101125
Hexadecimal 0x648255

Divisor Catalog (48)

1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1,155 1,901 3,465 5,703 9,505 13,307 17,109 20,911 28,515 39,921 62,733 66,535 85,545 104,555 119,763 146,377 188,199 199,605 313,665 439,131 598,815 731,885 940,995 1,317,393 2,195,655 6,586,965

Collatz Trajectory (178 steps to reach 1)

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

6,586,965 19,760,896 9,880,448 4,940,224 2,470,112 1,235,056 617,528 308,764 154,382 77,191 231,574 115,787 347,362 173,681 521,044 260,522 130,261 390,784 195,392 97,696 48,848 24,424 12,212 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194

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