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4,537,533

3 × 7 × 11 × 13 × 1511
Deficient Odd Composite

4,537,533 factors as 3 × 7 × 11 × 13 × 1511. Its 32 positive divisors give a proper-divisor sum of 3,590,979, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 13 × 1511
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,128,512
Proper Divisor Sum 3,590,979
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4537531 ← → #4537541

Radix Representation

Decimal 4537533
Binary 10001010011110010111101 (23 bits)
Octal 0o21236275
Hexadecimal 0x453CBD

Divisor Catalog (32)

1 3 7 11 13 21 33 39 77 91 143 231 273 429 1,001 1,511 3,003 4,533 10,577 16,621 19,643 31,731 49,863 58,929 116,347 137,501 216,073 349,041 412,503 648,219 1,512,511 4,537,533

Collatz Trajectory (118 steps to reach 1)

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

4,537,533 13,612,600 6,806,300 3,403,150 1,701,575 5,104,726 2,552,363 7,657,090 3,828,545 11,485,636 5,742,818 2,871,409 8,614,228 4,307,114 2,153,557 6,460,672 3,230,336 1,615,168 807,584 403,792 201,896 100,948 50,474 25,237 75,712 37,856 18,928 9,464 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804

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