λ
Math Directory

9,537,574

2 × 271 × 17597
Deficient Even Composite

9,537,574 factors as 2 × 271 × 17597. Its 8 positive divisors give a proper-divisor sum of 4,822,394, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 271 × 17597
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,359,968
Proper Divisor Sum 4,822,394
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9537551 ← → #9537581

Radix Representation

Decimal 9537574
Binary 100100011000100000100110 (24 bits)
Octal 0o44304046
Hexadecimal 0x918826

Divisor Catalog (8)

1 2 271 542 17,597 35,194 4,768,787 9,537,574

Collatz Trajectory (145 steps to reach 1)

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

9,537,574 4,768,787 14,306,362 7,153,181 21,459,544 10,729,772 5,364,886 2,682,443 8,047,330 4,023,665 12,070,996 6,035,498 3,017,749 9,053,248 4,526,624 2,263,312 1,131,656 565,828 282,914 141,457 424,372 212,186 106,093 318,280 159,140 79,570 39,785 119,356 59,678 29,839 89,518 44,759 134,278 67,139 201,418 100,709 302,128 151,064 75,532 37,766 18,883 56,650 28,325 84,976 42,488 21,244 10,622 5,311 15,934 7,967 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506

More profiles

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