λ
Harmonic Matrix

3,037,845

3 × 5 × 31 × 47 × 139
Deficient Odd Composite

3,037,845 has digital root 3. The neighboring primes are 3037843 and 3037871; its proper-divisor sum differs from the starting integer by -914,730.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 47 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,160,960
Proper Divisor Sum 2,123,115
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3037843 ← → #3037871

Radix Representation

Decimal 3037845
Binary 1011100101101010010101 (22 bits)
Octal 0o13455225
Hexadecimal 0x2E5A95

Divisor Catalog (32)

1 3 5 15 31 47 93 139 141 155 235 417 465 695 705 1,457 2,085 4,309 4,371 6,533 7,285 12,927 19,599 21,545 21,855 32,665 64,635 97,995 202,523 607,569 1,012,615 3,037,845

Collatz Trajectory (81 steps to reach 1)

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

3,037,845 9,113,536 4,556,768 2,278,384 1,139,192 569,596 284,798 142,399 427,198 213,599 640,798 320,399 961,198 480,599 1,441,798 720,899 2,162,698 1,081,349 3,244,048 1,622,024 811,012 405,506 202,753 608,260 304,130 152,065 456,196 228,098 114,049 342,148 171,074 85,537 256,612 128,306 64,153 192,460 96,230 48,115 144,346 72,173 216,520 108,260 54,130 27,065 81,196 40,598 20,299 60,898 30,449 91,348 45,674 22,837 68,512 34,256 17,128 8,564 4,282 2,141 6,424 3,212

More profiles

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