λ
Harmonic Matrix

3,306,061

11 × 37 × 8123
Deficient Odd Composite

3,306,061 has digital root 1. The neighboring primes are 3306059 and 3306091; its proper-divisor sum differs from the starting integer by -2,907,578.

Prime Factor Structure

Factorization String 11 × 37 × 8123
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,704,544
Proper Divisor Sum 398,483
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3306059 ← → #3306091

Radix Representation

Decimal 3306061
Binary 1100100111001001001101 (22 bits)
Octal 0o14471115
Hexadecimal 0x32724D

Divisor Catalog (8)

1 11 37 407 8,123 89,353 300,551 3,306,061

Collatz Trajectory (177 steps to reach 1)

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

3,306,061 9,918,184 4,959,092 2,479,546 1,239,773 3,719,320 1,859,660 929,830 464,915 1,394,746 697,373 2,092,120 1,046,060 523,030 261,515 784,546 392,273 1,176,820 588,410 294,205 882,616 441,308 220,654 110,327 330,982 165,491 496,474 248,237 744,712 372,356 186,178 93,089 279,268 139,634 69,817 209,452 104,726 52,363 157,090 78,545 235,636 117,818 58,909 176,728 88,364 44,182 22,091 66,274 33,137 99,412 49,706 24,853 74,560 37,280 18,640 9,320 4,660 2,330 1,165 3,496

More profiles

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