λ
Prime Ledger

5,382,036

22 × 32 × 11 × 13591
Abundant Even Composite

5,382,036 has the prime decomposition 2^2 × 3^2 × 11 × 13591. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 13591
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,842,464
Proper Divisor Sum 9,460,428
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5382011 ← → #5382037

Radix Representation

Decimal 5382036
Binary 10100100001111110010100 (23 bits)
Octal 0o24417624
Hexadecimal 0x521F94

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 13,591 27,182 40,773 54,364 81,546 122,319 149,501 163,092 244,638 299,002 448,503 489,276 598,004 897,006 1,345,509 1,794,012 2,691,018 5,382,036

Collatz Trajectory (64 steps to reach 1)

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

5,382,036 2,691,018 1,345,509 4,036,528 2,018,264 1,009,132 504,566 252,283 756,850 378,425 1,135,276 567,638 283,819 851,458 425,729 1,277,188 638,594 319,297 957,892 478,946 239,473 718,420 359,210 179,605 538,816 269,408 134,704 67,352 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5

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