7,588,926

2 × 3² × 421607

7,588,926 factors as 2 × 3^2 × 421607. Its 12 positive divisors give a proper-divisor sum of 8,853,786, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 421607

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,442,712

Proper Divisor Sum 8,853,786

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7588897 ← → #7588927

Radix Representation

Decimal	7588926
Binary	11100111100110000111110 (23 bits)
Octal	0o34746076
Hexadecimal	0x73CC3E

Divisor Catalog (12)

1 2 3 6 9 18 421,607 843,214 1,264,821 2,529,642 3,794,463 7,588,926

Collatz Trajectory (111 steps to reach 1)

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

7,588,926 3,794,463 11,383,390 5,691,695 17,075,086 8,537,543 25,612,630 12,806,315 38,418,946 19,209,473 57,628,420 28,814,210 14,407,105 43,221,316 21,610,658 10,805,329 32,415,988 16,207,994 8,103,997 24,311,992 12,155,996 6,077,998 3,038,999 9,116,998 4,558,499 13,675,498 6,837,749 20,513,248 10,256,624 5,128,312 2,564,156 1,282,078 641,039 1,923,118 961,559 2,884,678 1,442,339 4,327,018 2,163,509 6,490,528 3,245,264 1,622,632 811,316 405,658 202,829 608,488 304,244 152,122 76,061 228,184 114,092 57,046 28,523 85,570 42,785 128,356 64,178 32,089 96,268 48,134

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