λ
Prime Ledger

2,642,535

32 × 5 × 7 × 8389
Deficient Odd Composite

2,642,535 has the prime decomposition 3^2 × 5 × 7 × 8389. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 8389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,235,360
Proper Divisor Sum 2,592,825
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2642513 ← → #2642537

Radix Representation

Decimal 2642535
Binary 1010000101001001100111 (22 bits)
Octal 0o12051147
Hexadecimal 0x285267

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 8,389 25,167 41,945 58,723 75,501 125,835 176,169 293,615 377,505 528,507 880,845 2,642,535

Collatz Trajectory (156 steps to reach 1)

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

2,642,535 7,927,606 3,963,803 11,891,410 5,945,705 17,837,116 8,918,558 4,459,279 13,377,838 6,688,919 20,066,758 10,033,379 30,100,138 15,050,069 45,150,208 22,575,104 11,287,552 5,643,776 2,821,888 1,410,944 705,472 352,736 176,368 88,184 44,092 22,046 11,023 33,070 16,535 49,606 24,803 74,410 37,205 111,616 55,808 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484

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