λ
Sigma Notebook

3,621,015

32 × 5 × 67 × 1201
Deficient Odd Composite

3,621,015 is odd and not a perfect square. Its factorization is 3^2 × 5 × 67 × 1201 and its 24 divisors sum to 6,375,408.

Prime Factor Structure

Factorization String 3^2 × 5 × 67 × 1201
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,375,408
Proper Divisor Sum 2,754,393
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3621011 ← → #3621031

Radix Representation

Decimal 3621015
Binary 1101110100000010010111 (22 bits)
Octal 0o15640227
Hexadecimal 0x374097

Divisor Catalog (24)

1 3 5 9 15 45 67 201 335 603 1,005 1,201 3,015 3,603 6,005 10,809 18,015 54,045 80,467 241,401 402,335 724,203 1,207,005 3,621,015

Collatz Trajectory (159 steps to reach 1)

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

3,621,015 10,863,046 5,431,523 16,294,570 8,147,285 24,441,856 12,220,928 6,110,464 3,055,232 1,527,616 763,808 381,904 190,952 95,476 47,738 23,869 71,608 35,804 17,902 8,951 26,854 13,427 40,282 20,141 60,424 30,212 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107

More profiles

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