λ
Harmonic Matrix

3,272,348

22 × 23 × 35569
Deficient Even Composite

3,272,348 has digital root 2. The neighboring primes are 3272327 and 3272359; its proper-divisor sum differs from the starting integer by -568,936.

Prime Factor Structure

Factorization String 2^2 × 23 × 35569
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,975,760
Proper Divisor Sum 2,703,412
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3272327 ← → #3272359

Radix Representation

Decimal 3272348
Binary 1100011110111010011100 (22 bits)
Octal 0o14367234
Hexadecimal 0x31EE9C

Divisor Catalog (12)

1 2 4 23 46 92 35,569 71,138 142,276 818,087 1,636,174 3,272,348

Collatz Trajectory (89 steps to reach 1)

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

3,272,348 1,636,174 818,087 2,454,262 1,227,131 3,681,394 1,840,697 5,522,092 2,761,046 1,380,523 4,141,570 2,070,785 6,212,356 3,106,178 1,553,089 4,659,268 2,329,634 1,164,817 3,494,452 1,747,226 873,613 2,620,840 1,310,420 655,210 327,605 982,816 491,408 245,704 122,852 61,426 30,713 92,140 46,070 23,035 69,106 34,553 103,660 51,830 25,915 77,746 38,873 116,620 58,310 29,155 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577

More profiles

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