λ
Sigma Notebook

5,997,316

22 × 13 × 29 × 41 × 97
Abundant Even Composite

5,997,316 is even and not a perfect square. Its factorization is 2^2 × 13 × 29 × 41 × 97 and its 48 divisors sum to 12,101,040.

Prime Factor Structure

Factorization String 2^2 × 13 × 29 × 41 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,101,040
Proper Divisor Sum 6,103,724
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5997307 ← → #5997317

Radix Representation

Decimal 5997316
Binary 10110111000001100000100 (23 bits)
Octal 0o26701404
Hexadecimal 0x5B8304

Divisor Catalog (48)

1 2 4 13 26 29 41 52 58 82 97 116 164 194 377 388 533 754 1,066 1,189 1,261 1,508 2,132 2,378 2,522 2,813 3,977 4,756 5,044 5,626 7,954 11,252 15,457 15,908 30,914 36,569 51,701 61,828 73,138 103,402 115,333 146,276 206,804 230,666 461,332 1,499,329 2,998,658 5,997,316

Collatz Trajectory (139 steps to reach 1)

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

5,997,316 2,998,658 1,499,329 4,497,988 2,248,994 1,124,497 3,373,492 1,686,746 843,373 2,530,120 1,265,060 632,530 316,265 948,796 474,398 237,199 711,598 355,799 1,067,398 533,699 1,601,098 800,549 2,401,648 1,200,824 600,412 300,206 150,103 450,310 225,155 675,466 337,733 1,013,200 506,600 253,300 126,650 63,325 189,976 94,988 47,494 23,747 71,242 35,621 106,864 53,432 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057

More profiles

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