λ
Harmonic Matrix

2,333,633

181 × 12893
Deficient Odd Composite

2,333,633 has digital root 5. The neighboring primes are 2333621 and 2333647; its proper-divisor sum differs from the starting integer by -2,320,558.

Prime Factor Structure

Factorization String 181 × 12893
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,346,708
Proper Divisor Sum 13,075
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2333621 ← → #2333647

Radix Representation

Decimal 2333633
Binary 1000111001101111000001 (22 bits)
Octal 0o10715701
Hexadecimal 0x239BC1

Divisor Catalog (4)

1 181 12,893 2,333,633

Collatz Trajectory (192 steps to reach 1)

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

2,333,633 7,000,900 3,500,450 1,750,225 5,250,676 2,625,338 1,312,669 3,938,008 1,969,004 984,502 492,251 1,476,754 738,377 2,215,132 1,107,566 553,783 1,661,350 830,675 2,492,026 1,246,013 3,738,040 1,869,020 934,510 467,255 1,401,766 700,883 2,102,650 1,051,325 3,153,976 1,576,988 788,494 394,247 1,182,742 591,371 1,774,114 887,057 2,661,172 1,330,586 665,293 1,995,880 997,940 498,970 249,485 748,456 374,228 187,114 93,557 280,672 140,336 70,168 35,084 17,542 8,771 26,314 13,157 39,472 19,736 9,868 4,934 2,467

More profiles

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