λ
Harmonic Matrix

4,133,315

5 × 826663
Deficient Odd Composite

4,133,315 has digital root 2. The neighboring primes are 4133293 and 4133369; its proper-divisor sum differs from the starting integer by -3,306,646.

Prime Factor Structure

Factorization String 5 × 826663
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,959,984
Proper Divisor Sum 826,669
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4133293 ← → #4133369

Radix Representation

Decimal 4133315
Binary 1111110001000111000011 (22 bits)
Octal 0o17610703
Hexadecimal 0x3F11C3

Divisor Catalog (4)

1 5 826,663 4,133,315

Collatz Trajectory (211 steps to reach 1)

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

4,133,315 12,399,946 6,199,973 18,599,920 9,299,960 4,649,980 2,324,990 1,162,495 3,487,486 1,743,743 5,231,230 2,615,615 7,846,846 3,923,423 11,770,270 5,885,135 17,655,406 8,827,703 26,483,110 13,241,555 39,724,666 19,862,333 59,587,000 29,793,500 14,896,750 7,448,375 22,345,126 11,172,563 33,517,690 16,758,845 50,276,536 25,138,268 12,569,134 6,284,567 18,853,702 9,426,851 28,280,554 14,140,277 42,420,832 21,210,416 10,605,208 5,302,604 2,651,302 1,325,651 3,976,954 1,988,477 5,965,432 2,982,716 1,491,358 745,679 2,237,038 1,118,519 3,355,558 1,677,779 5,033,338 2,516,669 7,550,008 3,775,004 1,887,502 943,751

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