λ
Harmonic Matrix

3,331,617

3 × 1110539
Deficient Odd Composite

3,331,617 has digital root 6. The neighboring primes are 3331577 and 3331621; its proper-divisor sum differs from the starting integer by -2,221,074.

Prime Factor Structure

Factorization String 3 × 1110539
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,442,160
Proper Divisor Sum 1,110,543
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3331577 ← → #3331621

Radix Representation

Decimal 3331617
Binary 1100101101011000100001 (22 bits)
Octal 0o14553041
Hexadecimal 0x32D621

Divisor Catalog (4)

1 3 1,110,539 3,331,617

Collatz Trajectory (164 steps to reach 1)

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

3,331,617 9,994,852 4,997,426 2,498,713 7,496,140 3,748,070 1,874,035 5,622,106 2,811,053 8,433,160 4,216,580 2,108,290 1,054,145 3,162,436 1,581,218 790,609 2,371,828 1,185,914 592,957 1,778,872 889,436 444,718 222,359 667,078 333,539 1,000,618 500,309 1,500,928 750,464 375,232 187,616 93,808 46,904 23,452 11,726 5,863 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136

More profiles

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