6,635,024

2⁴ × 11 × 37699

6,635,024 factors as 2^4 × 11 × 37699. Its 20 positive divisors give a proper-divisor sum of 7,389,376, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 37699

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 14,024,400

Proper Divisor Sum 7,389,376

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6635011 ← → #6635033

Radix Representation

Decimal	6635024
Binary	11001010011111000010000 (23 bits)
Octal	0o31237020
Hexadecimal	0x653E10

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 37,699 75,398 150,796 301,592 414,689 603,184 829,378 1,658,756 3,317,512 6,635,024

Collatz Trajectory (253 steps to reach 1)

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

6,635,024 3,317,512 1,658,756 829,378 414,689 1,244,068 622,034 311,017 933,052 466,526 233,263 699,790 349,895 1,049,686 524,843 1,574,530 787,265 2,361,796 1,180,898 590,449 1,771,348 885,674 442,837 1,328,512 664,256 332,128 166,064 83,032 41,516 20,758 10,379 31,138 15,569 46,708 23,354 11,677 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100

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