λ
Harmonic Matrix

3,308,132

22 × 17 × 48649
Deficient Even Composite

3,308,132 has digital root 2. The neighboring primes are 3308093 and 3308153; its proper-divisor sum differs from the starting integer by -486,364.

Prime Factor Structure

Factorization String 2^2 × 17 × 48649
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,129,900
Proper Divisor Sum 2,821,768
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3308093 ← → #3308153

Radix Representation

Decimal 3308132
Binary 1100100111101001100100 (22 bits)
Octal 0o14475144
Hexadecimal 0x327A64

Divisor Catalog (12)

1 2 4 17 34 68 48,649 97,298 194,596 827,033 1,654,066 3,308,132

Collatz Trajectory (208 steps to reach 1)

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

3,308,132 1,654,066 827,033 2,481,100 1,240,550 620,275 1,860,826 930,413 2,791,240 1,395,620 697,810 348,905 1,046,716 523,358 261,679 785,038 392,519 1,177,558 588,779 1,766,338 883,169 2,649,508 1,324,754 662,377 1,987,132 993,566 496,783 1,490,350 745,175 2,235,526 1,117,763 3,353,290 1,676,645 5,029,936 2,514,968 1,257,484 628,742 314,371 943,114 471,557 1,414,672 707,336 353,668 176,834 88,417 265,252 132,626 66,313 198,940 99,470 49,735 149,206 74,603 223,810 111,905 335,716 167,858 83,929 251,788 125,894

More profiles

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