8,093,564

2² × 17 × 41 × 2903

8,093,564 factors as 2^2 × 17 × 41 × 2903. Its 24 positive divisors give a proper-divisor sum of 7,274,404, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 41 × 2903

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,367,968

Proper Divisor Sum 7,274,404

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8093557 ← → #8093567

Radix Representation

Decimal	8093564
Binary	11110110111111101111100 (23 bits)
Octal	0o36677574
Hexadecimal	0x7B7F7C

Divisor Catalog (24)

Collatz Trajectory (111 steps to reach 1)

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

8,093,564 4,046,782 2,023,391 6,070,174 3,035,087 9,105,262 4,552,631 13,657,894 6,828,947 20,486,842 10,243,421 30,730,264 15,365,132 7,682,566 3,841,283 11,523,850 5,761,925 17,285,776 8,642,888 4,321,444 2,160,722 1,080,361 3,241,084 1,620,542 810,271 2,430,814 1,215,407 3,646,222 1,823,111 5,469,334 2,734,667 8,204,002 4,102,001 12,306,004 6,153,002 3,076,501 9,229,504 4,614,752 2,307,376 1,153,688 576,844 288,422 144,211 432,634 216,317 648,952 324,476 162,238 81,119 243,358 121,679 365,038 182,519 547,558 273,779 821,338 410,669 1,232,008 616,004 308,002

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