λ
Sigma Notebook

6,097,356

22 × 37 × 17 × 41
Abundant Even Composite

6,097,356 is even and not a perfect square. Its factorization is 2^2 × 3^7 × 17 × 41 and its 96 divisors sum to 17,357,760.

Prime Factor Structure

Factorization String 2^2 × 3^7 × 17 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 17,357,760
Proper Divisor Sum 11,260,404
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6097331 ← → #6097361

Radix Representation

Decimal 6097356
Binary 10111010000100111001100 (23 bits)
Octal 0o27204714
Hexadecimal 0x5D09CC

Divisor Catalog (60 of 96)

1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 81 82 102 108 123 153 162 164 204 243 246 306 324 369 459 486 492 612 697 729 738 918 972 1,107 1,377 1,394 1,458 1,476 1,836 2,091 2,187 2,214 2,754 2,788 2,916 3,321 4,131 4,182 4,374 4,428 5,508 6,273 6,642 8,262

Collatz Trajectory (82 steps to reach 1)

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

6,097,356 3,048,678 1,524,339 4,573,018 2,286,509 6,859,528 3,429,764 1,714,882 857,441 2,572,324 1,286,162 643,081 1,929,244 964,622 482,311 1,446,934 723,467 2,170,402 1,085,201 3,255,604 1,627,802 813,901 2,441,704 1,220,852 610,426 305,213 915,640 457,820 228,910 114,455 343,366 171,683 515,050 257,525 772,576 386,288 193,144 96,572 48,286 24,143 72,430 36,215 108,646 54,323 162,970 81,485 244,456 122,228 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446

More profiles

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