λ
Harmonic Matrix

3,024,209

3024209
Deficient Odd Prime

3,024,209 has digital root 2. The neighboring primes are 3024193 and 3024221; its proper-divisor sum differs from the starting integer by -3,024,208.

Prime Factor Structure

Factorization String 3024209
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,024,210
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3024193 ← → #3024221

Radix Representation

Decimal 3024209
Binary 1011100010010101010001 (22 bits)
Octal 0o13422521
Hexadecimal 0x2E2551

Divisor Catalog (2)

Collatz Trajectory (133 steps to reach 1)

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

3,024,209 9,072,628 4,536,314 2,268,157 6,804,472 3,402,236 1,701,118 850,559 2,551,678 1,275,839 3,827,518 1,913,759 5,741,278 2,870,639 8,611,918 4,305,959 12,917,878 6,458,939 19,376,818 9,688,409 29,065,228 14,532,614 7,266,307 21,798,922 10,899,461 32,698,384 16,349,192 8,174,596 4,087,298 2,043,649 6,130,948 3,065,474 1,532,737 4,598,212 2,299,106 1,149,553 3,448,660 1,724,330 862,165 2,586,496 1,293,248 646,624 323,312 161,656 80,828 40,414 20,207 60,622 30,311 90,934 45,467 136,402 68,201 204,604 102,302 51,151 153,454 76,727 230,182 115,091

More profiles

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