λ
Harmonic Matrix

2,958,630

2 × 3 × 5 × 98621
Abundant Even Composite

2,958,630 has digital root 6. The neighboring primes are 2958607 and 2958647; its proper-divisor sum differs from the starting integer by 1,183,524.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 98621
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,100,784
Proper Divisor Sum 4,142,154
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2958607 ← → #2958647

Radix Representation

Decimal 2958630
Binary 1011010010010100100110 (22 bits)
Octal 0o13222446
Hexadecimal 0x2D2526

Divisor Catalog (16)

1 2 3 5 6 10 15 30 98,621 197,242 295,863 493,105 591,726 986,210 1,479,315 2,958,630

Collatz Trajectory (138 steps to reach 1)

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

2,958,630 1,479,315 4,437,946 2,218,973 6,656,920 3,328,460 1,664,230 832,115 2,496,346 1,248,173 3,744,520 1,872,260 936,130 468,065 1,404,196 702,098 351,049 1,053,148 526,574 263,287 789,862 394,931 1,184,794 592,397 1,777,192 888,596 444,298 222,149 666,448 333,224 166,612 83,306 41,653 124,960 62,480 31,240 15,620 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526

More profiles

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