λ
Harmonic Matrix

3,087,434

2 × 7 × 83 × 2657
Deficient Even Composite

3,087,434 has digital root 2. The neighboring primes are 3087431 and 3087437; its proper-divisor sum differs from the starting integer by -816,340.

Prime Factor Structure

Factorization String 2 × 7 × 83 × 2657
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,358,528
Proper Divisor Sum 2,271,094
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3087431 ← → #3087437

Radix Representation

Decimal 3087434
Binary 1011110001110001001010 (22 bits)
Octal 0o13616112
Hexadecimal 0x2F1C4A

Divisor Catalog (16)

1 2 7 14 83 166 581 1,162 2,657 5,314 18,599 37,198 220,531 441,062 1,543,717 3,087,434

Collatz Trajectory (164 steps to reach 1)

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

3,087,434 1,543,717 4,631,152 2,315,576 1,157,788 578,894 289,447 868,342 434,171 1,302,514 651,257 1,953,772 976,886 488,443 1,465,330 732,665 2,197,996 1,098,998 549,499 1,648,498 824,249 2,472,748 1,236,374 618,187 1,854,562 927,281 2,781,844 1,390,922 695,461 2,086,384 1,043,192 521,596 260,798 130,399 391,198 195,599 586,798 293,399 880,198 440,099 1,320,298 660,149 1,980,448 990,224 495,112 247,556 123,778 61,889 185,668 92,834 46,417 139,252 69,626 34,813 104,440 52,220 26,110 13,055 39,166 19,583

More profiles

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