λ
Harmonic Matrix

4,822,512

24 × 3 × 100469
Abundant Even Composite

4,822,512 has digital root 6. The neighboring primes are 4822481 and 4822513; its proper-divisor sum differs from the starting integer by 2,813,256.

Prime Factor Structure

Factorization String 2^4 × 3 × 100469
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,458,280
Proper Divisor Sum 7,635,768
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4822481 ← → #4822513

Radix Representation

Decimal 4822512
Binary 10010011001010111110000 (23 bits)
Octal 0o22312760
Hexadecimal 0x4995F0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 100,469 200,938 301,407 401,876 602,814 803,752 1,205,628 1,607,504 2,411,256 4,822,512

Collatz Trajectory (237 steps to reach 1)

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

4,822,512 2,411,256 1,205,628 602,814 301,407 904,222 452,111 1,356,334 678,167 2,034,502 1,017,251 3,051,754 1,525,877 4,577,632 2,288,816 1,144,408 572,204 286,102 143,051 429,154 214,577 643,732 321,866 160,933 482,800 241,400 120,700 60,350 30,175 90,526 45,263 135,790 67,895 203,686 101,843 305,530 152,765 458,296 229,148 114,574 57,287 171,862 85,931 257,794 128,897 386,692 193,346 96,673 290,020 145,010 72,505 217,516 108,758 54,379 163,138 81,569 244,708 122,354 61,177 183,532

More profiles

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