λ
Sigma Notebook

5,067,372

22 × 3 × 37 × 101 × 113
Abundant Even Composite

5,067,372 is even and not a perfect square. Its factorization is 2^2 × 3 × 37 × 101 × 113 and its 48 divisors sum to 12,372,192.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 101 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,372,192
Proper Divisor Sum 7,304,820
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5067371 ← → #5067389

Radix Representation

Decimal 5067372
Binary 10011010101001001101100 (23 bits)
Octal 0o23251154
Hexadecimal 0x4D526C

Divisor Catalog (48)

1 2 3 4 6 12 37 74 101 111 113 148 202 222 226 303 339 404 444 452 606 678 1,212 1,356 3,737 4,181 7,474 8,362 11,211 11,413 12,543 14,948 16,724 22,422 22,826 25,086 34,239 44,844 45,652 50,172 68,478 136,956 422,281 844,562 1,266,843 1,689,124 2,533,686 5,067,372

Collatz Trajectory (131 steps to reach 1)

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

5,067,372 2,533,686 1,266,843 3,800,530 1,900,265 5,700,796 2,850,398 1,425,199 4,275,598 2,137,799 6,413,398 3,206,699 9,620,098 4,810,049 14,430,148 7,215,074 3,607,537 10,822,612 5,411,306 2,705,653 8,116,960 4,058,480 2,029,240 1,014,620 507,310 253,655 760,966 380,483 1,141,450 570,725 1,712,176 856,088 428,044 214,022 107,011 321,034 160,517 481,552 240,776 120,388 60,194 30,097 90,292 45,146 22,573 67,720 33,860 16,930 8,465 25,396 12,698 6,349 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893

More profiles

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