λ
Prime Ledger

3,675,972

22 × 3 × 306331
Abundant Even Composite

3,675,972 has the prime decomposition 2^2 × 3 × 306331. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 306331
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,577,296
Proper Divisor Sum 4,901,324
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3675943 ← → #3675977

Radix Representation

Decimal 3675972
Binary 1110000001011101000100 (22 bits)
Octal 0o16013504
Hexadecimal 0x381744

Divisor Catalog (12)

1 2 3 4 6 12 306,331 612,662 918,993 1,225,324 1,837,986 3,675,972

Collatz Trajectory (84 steps to reach 1)

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

3,675,972 1,837,986 918,993 2,756,980 1,378,490 689,245 2,067,736 1,033,868 516,934 258,467 775,402 387,701 1,163,104 581,552 290,776 145,388 72,694 36,347 109,042 54,521 163,564 81,782 40,891 122,674 61,337 184,012 92,006 46,003 138,010 69,005 207,016 103,508 51,754 25,877 77,632 38,816 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650

More profiles

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