λ
Harmonic Matrix

4,528,876

22 × 11 × 102929
Deficient Even Composite

4,528,876 has digital root 4. The neighboring primes are 4528831 and 4528891; its proper-divisor sum differs from the starting integer by -411,632.

Prime Factor Structure

Factorization String 2^2 × 11 × 102929
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,646,120
Proper Divisor Sum 4,117,244
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4528831 ← → #4528891

Radix Representation

Decimal 4528876
Binary 10001010001101011101100 (23 bits)
Octal 0o21215354
Hexadecimal 0x451AEC

Divisor Catalog (12)

1 2 4 11 22 44 102,929 205,858 411,716 1,132,219 2,264,438 4,528,876

Collatz Trajectory (136 steps to reach 1)

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

4,528,876 2,264,438 1,132,219 3,396,658 1,698,329 5,094,988 2,547,494 1,273,747 3,821,242 1,910,621 5,731,864 2,865,932 1,432,966 716,483 2,149,450 1,074,725 3,224,176 1,612,088 806,044 403,022 201,511 604,534 302,267 906,802 453,401 1,360,204 680,102 340,051 1,020,154 510,077 1,530,232 765,116 382,558 191,279 573,838 286,919 860,758 430,379 1,291,138 645,569 1,936,708 968,354 484,177 1,452,532 726,266 363,133 1,089,400 544,700 272,350 136,175 408,526 204,263 612,790 306,395 919,186 459,593 1,378,780 689,390 344,695 1,034,086

More profiles

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