λ
Harmonic Matrix

2,572,422

2 × 3 × 41 × 10457
Abundant Even Composite

2,572,422 has digital root 6. The neighboring primes are 2572421 and 2572433; its proper-divisor sum differs from the starting integer by 125,988.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 10457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,270,832
Proper Divisor Sum 2,698,410
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2572421 ← → #2572433

Radix Representation

Decimal 2572422
Binary 1001110100000010000110 (22 bits)
Octal 0o11640206
Hexadecimal 0x274086

Divisor Catalog (16)

1 2 3 6 41 82 123 246 10,457 20,914 31,371 62,742 428,737 857,474 1,286,211 2,572,422

Collatz Trajectory (236 steps to reach 1)

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

2,572,422 1,286,211 3,858,634 1,929,317 5,787,952 2,893,976 1,446,988 723,494 361,747 1,085,242 542,621 1,627,864 813,932 406,966 203,483 610,450 305,225 915,676 457,838 228,919 686,758 343,379 1,030,138 515,069 1,545,208 772,604 386,302 193,151 579,454 289,727 869,182 434,591 1,303,774 651,887 1,955,662 977,831 2,933,494 1,466,747 4,400,242 2,200,121 6,600,364 3,300,182 1,650,091 4,950,274 2,475,137 7,425,412 3,712,706 1,856,353 5,569,060 2,784,530 1,392,265 4,176,796 2,088,398 1,044,199 3,132,598 1,566,299 4,698,898 2,349,449 7,048,348 3,524,174

More profiles

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