λ
Harmonic Matrix

2,930,931

33 × 108553
Deficient Odd Composite

2,930,931 has digital root 9. The neighboring primes are 2930911 and 2930947; its proper-divisor sum differs from the starting integer by -1,519,702.

Prime Factor Structure

Factorization String 3^3 × 108553
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,342,160
Proper Divisor Sum 1,411,229
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2930911 ← → #2930947

Radix Representation

Decimal 2930931
Binary 1011001011100011110011 (22 bits)
Octal 0o13134363
Hexadecimal 0x2CB8F3

Divisor Catalog (8)

1 3 9 27 108,553 325,659 976,977 2,930,931

Collatz Trajectory (151 steps to reach 1)

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

2,930,931 8,792,794 4,396,397 13,189,192 6,594,596 3,297,298 1,648,649 4,945,948 2,472,974 1,236,487 3,709,462 1,854,731 5,564,194 2,782,097 8,346,292 4,173,146 2,086,573 6,259,720 3,129,860 1,564,930 782,465 2,347,396 1,173,698 586,849 1,760,548 880,274 440,137 1,320,412 660,206 330,103 990,310 495,155 1,485,466 742,733 2,228,200 1,114,100 557,050 278,525 835,576 417,788 208,894 104,447 313,342 156,671 470,014 235,007 705,022 352,511 1,057,534 528,767 1,586,302 793,151 2,379,454 1,189,727 3,569,182 1,784,591 5,353,774 2,676,887 8,030,662 4,015,331

More profiles

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