λ
Ratio Atlas

3,576,807

32 × 13 × 19 × 1609
Deficient Odd Composite

3,576,807 factors as 3^2 × 13 × 19 × 1609. Its 24 positive divisors give a proper-divisor sum of 2,283,593, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 19 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,860,400
Proper Divisor Sum 2,283,593
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3576803 ← → #3576809

Radix Representation

Decimal 3576807
Binary 1101101001001111100111 (22 bits)
Octal 0o15511747
Hexadecimal 0x3693E7

Divisor Catalog (24)

1 3 9 13 19 39 57 117 171 247 741 1,609 2,223 4,827 14,481 20,917 30,571 62,751 91,713 188,253 275,139 397,423 1,192,269 3,576,807

Collatz Trajectory (159 steps to reach 1)

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

3,576,807 10,730,422 5,365,211 16,095,634 8,047,817 24,143,452 12,071,726 6,035,863 18,107,590 9,053,795 27,161,386 13,580,693 40,742,080 20,371,040 10,185,520 5,092,760 2,546,380 1,273,190 636,595 1,909,786 954,893 2,864,680 1,432,340 716,170 358,085 1,074,256 537,128 268,564 134,282 67,141 201,424 100,712 50,356 25,178 12,589 37,768 18,884 9,442 4,721 14,164 7,082 3,541 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107

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