7,522,626

2 × 3 × 67 × 18713

7,522,626 factors as 2 × 3 × 67 × 18713. Its 16 positive divisors give a proper-divisor sum of 7,747,998, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 3 × 67 × 18713

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,270,624

Proper Divisor Sum 7,747,998

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7522621 ← → #7522631

Radix Representation

Decimal	7522626
Binary	11100101100100101000010 (23 bits)
Octal	0o34544502
Hexadecimal	0x72C942

Divisor Catalog (16)

1 2 3 6 67 134 201 402 18,713 37,426 56,139 112,278 1,253,771 2,507,542 3,761,313 7,522,626

Collatz Trajectory (173 steps to reach 1)

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

7,522,626 3,761,313 11,283,940 5,641,970 2,820,985 8,462,956 4,231,478 2,115,739 6,347,218 3,173,609 9,520,828 4,760,414 2,380,207 7,140,622 3,570,311 10,710,934 5,355,467 16,066,402 8,033,201 24,099,604 12,049,802 6,024,901 18,074,704 9,037,352 4,518,676 2,259,338 1,129,669 3,389,008 1,694,504 847,252 423,626 211,813 635,440 317,720 158,860 79,430 39,715 119,146 59,573 178,720 89,360 44,680 22,340 11,170 5,585 16,756 8,378 4,189 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221

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