λ
Harmonic Matrix

3,385,491

3 × 1128497
Deficient Odd Composite

3,385,491 has digital root 6. The neighboring primes are 3385469 and 3385511; its proper-divisor sum differs from the starting integer by -2,256,990.

Prime Factor Structure

Factorization String 3 × 1128497
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,513,992
Proper Divisor Sum 1,128,501
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3385469 ← → #3385511

Radix Representation

Decimal 3385491
Binary 1100111010100010010011 (22 bits)
Octal 0o14724223
Hexadecimal 0x33A893

Divisor Catalog (4)

1 3 1,128,497 3,385,491

Collatz Trajectory (107 steps to reach 1)

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

3,385,491 10,156,474 5,078,237 15,234,712 7,617,356 3,808,678 1,904,339 5,713,018 2,856,509 8,569,528 4,284,764 2,142,382 1,071,191 3,213,574 1,606,787 4,820,362 2,410,181 7,230,544 3,615,272 1,807,636 903,818 451,909 1,355,728 677,864 338,932 169,466 84,733 254,200 127,100 63,550 31,775 95,326 47,663 142,990 71,495 214,486 107,243 321,730 160,865 482,596 241,298 120,649 361,948 180,974 90,487 271,462 135,731 407,194 203,597 610,792 305,396 152,698 76,349 229,048 114,524 57,262 28,631 85,894 42,947 128,842

More profiles

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