λ
Harmonic Matrix

4,822,425

32 × 52 × 21433
Deficient Odd Composite

4,822,425 has digital root 9. The neighboring primes are 4822423 and 4822427; its proper-divisor sum differs from the starting integer by -1,006,948.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 21433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 8,637,902
Proper Divisor Sum 3,815,477
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4822423 ← → #4822427

Radix Representation

Decimal 4822425
Binary 10010011001010110011001 (23 bits)
Octal 0o22312631
Hexadecimal 0x499599

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 21,433 64,299 107,165 192,897 321,495 535,825 964,485 1,607,475 4,822,425

Collatz Trajectory (224 steps to reach 1)

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

4,822,425 14,467,276 7,233,638 3,616,819 10,850,458 5,425,229 16,275,688 8,137,844 4,068,922 2,034,461 6,103,384 3,051,692 1,525,846 762,923 2,288,770 1,144,385 3,433,156 1,716,578 858,289 2,574,868 1,287,434 643,717 1,931,152 965,576 482,788 241,394 120,697 362,092 181,046 90,523 271,570 135,785 407,356 203,678 101,839 305,518 152,759 458,278 229,139 687,418 343,709 1,031,128 515,564 257,782 128,891 386,674 193,337 580,012 290,006 145,003 435,010 217,505 652,516 326,258 163,129 489,388 244,694 122,347 367,042 183,521

More profiles

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