λ
Prime Ledger

4,390,165

5 × 13 × 17 × 29 × 137
Deficient Odd Composite

4,390,165 has the prime decomposition 5 × 13 × 17 × 29 × 137. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 17 × 29 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,259,680
Proper Divisor Sum 1,869,515
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4390151 ← → #4390181

Radix Representation

Decimal 4390165
Binary 10000101111110100010101 (23 bits)
Octal 0o20576425
Hexadecimal 0x42FD15

Divisor Catalog (32)

1 5 13 17 29 65 85 137 145 221 377 493 685 1,105 1,781 1,885 2,329 2,465 3,973 6,409 8,905 11,645 19,865 30,277 32,045 51,649 67,541 151,385 258,245 337,705 878,033 4,390,165

Collatz Trajectory (136 steps to reach 1)

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

4,390,165 13,170,496 6,585,248 3,292,624 1,646,312 823,156 411,578 205,789 617,368 308,684 154,342 77,171 231,514 115,757 347,272 173,636 86,818 43,409 130,228 65,114 32,557 97,672 48,836 24,418 12,209 36,628 18,314 9,157 27,472 13,736 6,868 3,434 1,717 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

More profiles

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