3,583,005

3 × 5 × 17 × 14051

3,583,005 factors as 3 × 5 × 17 × 14051. Its 16 positive divisors give a proper-divisor sum of 2,487,459, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 14051

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,070,464

Proper Divisor Sum 2,487,459

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3582989 ← → #3583007

Radix Representation

Decimal	3583005
Binary	1101101010110000011101 (22 bits)
Octal	0o15526035
Hexadecimal	0x36AC1D

Divisor Catalog (16)

1 3 5 15 17 51 85 255 14,051 42,153 70,255 210,765 238,867 716,601 1,194,335 3,583,005

Collatz Trajectory (141 steps to reach 1)

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

3,583,005 10,749,016 5,374,508 2,687,254 1,343,627 4,030,882 2,015,441 6,046,324 3,023,162 1,511,581 4,534,744 2,267,372 1,133,686 566,843 1,700,530 850,265 2,550,796 1,275,398 637,699 1,913,098 956,549 2,869,648 1,434,824 717,412 358,706 179,353 538,060 269,030 134,515 403,546 201,773 605,320 302,660 151,330 75,665 226,996 113,498 56,749 170,248 85,124 42,562 21,281 63,844 31,922 15,961 47,884 23,942 11,971 35,914 17,957 53,872 26,936 13,468 6,734 3,367 10,102 5,051 15,154 7,577 22,732

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