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Atlas › Integer Profiles › Node 3,666,575

3,666,575

52 × 11 × 67 × 199
Deficient Odd Composite

3,666,575 factors as 5^2 × 11 × 67 × 199. Its 24 positive divisors give a proper-divisor sum of 1,392,625, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 67 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,059,200
Proper Divisor Sum 1,392,625
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3666539 ← → #3666581

Radix Representation

Decimal 3666575
Binary 1101111111001010001111 (22 bits)
Octal 0o15771217
Hexadecimal 0x37F28F

Divisor Catalog (24)

1 5 11 25 55 67 199 275 335 737 995 1,675 2,189 3,685 4,975 10,945 13,333 18,425 54,725 66,665 146,663 333,325 733,315 3,666,575

Collatz Trajectory (172 steps to reach 1)

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

3,666,575 10,999,726 5,499,863 16,499,590 8,249,795 24,749,386 12,374,693 37,124,080 18,562,040 9,281,020 4,640,510 2,320,255 6,960,766 3,480,383 10,441,150 5,220,575 15,661,726 7,830,863 23,492,590 11,746,295 35,238,886 17,619,443 52,858,330 26,429,165 79,287,496 39,643,748 19,821,874 9,910,937 29,732,812 14,866,406 7,433,203 22,299,610 11,149,805 33,449,416 16,724,708 8,362,354 4,181,177 12,543,532 6,271,766 3,135,883 9,407,650 4,703,825 14,111,476 7,055,738 3,527,869 10,583,608 5,291,804 2,645,902 1,322,951 3,968,854 1,984,427 5,953,282 2,976,641 8,929,924 4,464,962 2,232,481 6,697,444 3,348,722 1,674,361 5,023,084

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