λ
Harmonic Matrix

4,825,776

24 × 3 × 100537
Abundant Even Composite

4,825,776 has digital root 3. The neighboring primes are 4825763 and 4825789; its proper-divisor sum differs from the starting integer by 2,815,160.

Prime Factor Structure

Factorization String 2^4 × 3 × 100537
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,466,712
Proper Divisor Sum 7,640,936
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4825763 ← → #4825789

Radix Representation

Decimal 4825776
Binary 10010011010001010110000 (23 bits)
Octal 0o22321260
Hexadecimal 0x49A2B0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 100,537 201,074 301,611 402,148 603,222 804,296 1,206,444 1,608,592 2,412,888 4,825,776

Collatz Trajectory (118 steps to reach 1)

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

4,825,776 2,412,888 1,206,444 603,222 301,611 904,834 452,417 1,357,252 678,626 339,313 1,017,940 508,970 254,485 763,456 381,728 190,864 95,432 47,716 23,858 11,929 35,788 17,894 8,947 26,842 13,421 40,264 20,132 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743 38,230 19,115 57,346 28,673 86,020 43,010 21,505 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104

More profiles

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