λ
Prime Ledger

3,320,330

2 × 5 × 13 × 25541
Deficient Even Composite

3,320,330 has the prime decomposition 2 × 5 × 13 × 25541. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 25541
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,436,584
Proper Divisor Sum 3,116,254
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3320311 ← → #3320341

Radix Representation

Decimal 3320330
Binary 1100101010101000001010 (22 bits)
Octal 0o14525012
Hexadecimal 0x32AA0A

Divisor Catalog (16)

1 2 5 10 13 26 65 130 25,541 51,082 127,705 255,410 332,033 664,066 1,660,165 3,320,330

Collatz Trajectory (102 steps to reach 1)

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

3,320,330 1,660,165 4,980,496 2,490,248 1,245,124 622,562 311,281 933,844 466,922 233,461 700,384 350,192 175,096 87,548 43,774 21,887 65,662 32,831 98,494 49,247 147,742 73,871 221,614 110,807 332,422 166,211 498,634 249,317 747,952 373,976 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662 118,331 354,994 177,497 532,492 266,246 133,123 399,370 199,685 599,056 299,528 149,764 74,882 37,441 112,324 56,162 28,081 84,244 42,122 21,061

More profiles

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