λ
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Atlas › Integer Profiles › Node 20,043,513

20,043,513

32 × 7 × 71 × 4481
Deficient Odd Composite

20,043,513 factors as 3^2 × 7 × 71 × 4481. Its 24 positive divisors give a proper-divisor sum of 13,517,703, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 71 × 4481
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 33,561,216
Proper Divisor Sum 13,517,703
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20043469 ← → #20043559

Radix Representation

Decimal 20043513
Binary 1001100011101011011111001 (25 bits)
Octal 0o114353371
Hexadecimal 0x131D6F9

Divisor Catalog (24)

1 3 7 9 21 63 71 213 497 639 1,491 4,473 4,481 13,443 31,367 40,329 94,101 282,303 318,151 954,453 2,227,057 2,863,359 6,681,171 20,043,513

Collatz Trajectory (89 steps to reach 1)

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

20,043,513 60,130,540 30,065,270 15,032,635 45,097,906 22,548,953 67,646,860 33,823,430 16,911,715 50,735,146 25,367,573 76,102,720 38,051,360 19,025,680 9,512,840 4,756,420 2,378,210 1,189,105 3,567,316 1,783,658 891,829 2,675,488 1,337,744 668,872 334,436 167,218 83,609 250,828 125,414 62,707 188,122 94,061 282,184 141,092 70,546 35,273 105,820 52,910 26,455 79,366 39,683 119,050 59,525 178,576 89,288 44,644 22,322 11,161 33,484 16,742 8,371 25,114 12,557 37,672 18,836 9,418 4,709 14,128 7,064 3,532

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