λ
Sigma Notebook

5,315,652

22 × 33 × 83 × 593
Abundant Even Composite

5,315,652 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 83 × 593 and its 48 divisors sum to 13,970,880.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 83 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,970,880
Proper Divisor Sum 8,655,228
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5315647 ← → #5315669

Radix Representation

Decimal 5315652
Binary 10100010001110001000100 (23 bits)
Octal 0o24216104
Hexadecimal 0x511C44

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 593 747 996 1,186 1,494 1,779 2,241 2,372 2,988 3,558 4,482 5,337 7,116 8,964 10,674 16,011 21,348 32,022 49,219 64,044 98,438 147,657 196,876 295,314 442,971 590,628 885,942 1,328,913 1,771,884 2,657,826 5,315,652

Collatz Trajectory (219 steps to reach 1)

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

5,315,652 2,657,826 1,328,913 3,986,740 1,993,370 996,685 2,990,056 1,495,028 747,514 373,757 1,121,272 560,636 280,318 140,159 420,478 210,239 630,718 315,359 946,078 473,039 1,419,118 709,559 2,128,678 1,064,339 3,193,018 1,596,509 4,789,528 2,394,764 1,197,382 598,691 1,796,074 898,037 2,694,112 1,347,056 673,528 336,764 168,382 84,191 252,574 126,287 378,862 189,431 568,294 284,147 852,442 426,221 1,278,664 639,332 319,666 159,833 479,500 239,750 119,875 359,626 179,813 539,440 269,720 134,860 67,430 33,715

More profiles

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