λ
Harmonic Matrix

3,320,055

33 × 5 × 24593
Deficient Odd Composite

3,320,055 has digital root 9. The neighboring primes are 3320029 and 3320059; its proper-divisor sum differs from the starting integer by -737,550.

Prime Factor Structure

Factorization String 3^3 × 5 × 24593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,902,560
Proper Divisor Sum 2,582,505
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3320029 ← → #3320059

Radix Representation

Decimal 3320055
Binary 1100101010100011110111 (22 bits)
Octal 0o14524367
Hexadecimal 0x32A8F7

Divisor Catalog (16)

1 3 5 9 15 27 45 135 24,593 73,779 122,965 221,337 368,895 664,011 1,106,685 3,320,055

Collatz Trajectory (115 steps to reach 1)

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

3,320,055 9,960,166 4,980,083 14,940,250 7,470,125 22,410,376 11,205,188 5,602,594 2,801,297 8,403,892 4,201,946 2,100,973 6,302,920 3,151,460 1,575,730 787,865 2,363,596 1,181,798 590,899 1,772,698 886,349 2,659,048 1,329,524 664,762 332,381 997,144 498,572 249,286 124,643 373,930 186,965 560,896 280,448 140,224 70,112 35,056 17,528 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514

More profiles

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