λ
Harmonic Matrix

9,562,452

22 × 3 × 796871
Abundant Even Composite

9,562,452 has digital root 6. The neighboring primes are 9562451 and 9562459; its proper-divisor sum differs from the starting integer by 3,187,512.

Prime Factor Structure

Factorization String 2^2 × 3 × 796871
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 22,312,416
Proper Divisor Sum 12,749,964
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9562451 ← → #9562459

Radix Representation

Decimal 9562452
Binary 100100011110100101010100 (24 bits)
Octal 0o44364524
Hexadecimal 0x91E954

Divisor Catalog (12)

1 2 3 4 6 12 796,871 1,593,742 2,390,613 3,187,484 4,781,226 9,562,452

Collatz Trajectory (145 steps to reach 1)

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

9,562,452 4,781,226 2,390,613 7,171,840 3,585,920 1,792,960 896,480 448,240 224,120 112,060 56,030 28,015 84,046 42,023 126,070 63,035 189,106 94,553 283,660 141,830 70,915 212,746 106,373 319,120 159,560 79,780 39,890 19,945 59,836 29,918 14,959 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734 37,867 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512 161,756 80,878 40,439 121,318 60,659

More profiles

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