λ
Harmonic Matrix

3,552,332

22 × 7 × 293 × 433
Abundant Even Composite

3,552,332 has digital root 5. The neighboring primes are 3552313 and 3552347; its proper-divisor sum differs from the starting integer by 40,712.

Prime Factor Structure

Factorization String 2^2 × 7 × 293 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,145,376
Proper Divisor Sum 3,593,044
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3552313 ← → #3552347

Radix Representation

Decimal 3552332
Binary 1101100011010001001100 (22 bits)
Octal 0o15432114
Hexadecimal 0x36344C

Divisor Catalog (24)

1 2 4 7 14 28 293 433 586 866 1,172 1,732 2,051 3,031 4,102 6,062 8,204 12,124 126,869 253,738 507,476 888,083 1,776,166 3,552,332

Collatz Trajectory (190 steps to reach 1)

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

3,552,332 1,776,166 888,083 2,664,250 1,332,125 3,996,376 1,998,188 999,094 499,547 1,498,642 749,321 2,247,964 1,123,982 561,991 1,685,974 842,987 2,528,962 1,264,481 3,793,444 1,896,722 948,361 2,845,084 1,422,542 711,271 2,133,814 1,066,907 3,200,722 1,600,361 4,801,084 2,400,542 1,200,271 3,600,814 1,800,407 5,401,222 2,700,611 8,101,834 4,050,917 12,152,752 6,076,376 3,038,188 1,519,094 759,547 2,278,642 1,139,321 3,417,964 1,708,982 854,491 2,563,474 1,281,737 3,845,212 1,922,606 961,303 2,883,910 1,441,955 4,325,866 2,162,933 6,488,800 3,244,400 1,622,200 811,100

More profiles

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