λ
Prime Ledger

3,969,165

3 × 5 × 107 × 2473
Deficient Odd Composite

3,969,165 has the prime decomposition 3 × 5 × 107 × 2473. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 107 × 2473
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,412,608
Proper Divisor Sum 2,443,443
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3969151 ← → #3969167

Radix Representation

Decimal 3969165
Binary 1111001001000010001101 (22 bits)
Octal 0o17110215
Hexadecimal 0x3C908D

Divisor Catalog (16)

1 3 5 15 107 321 535 1,605 2,473 7,419 12,365 37,095 264,611 793,833 1,323,055 3,969,165

Collatz Trajectory (61 steps to reach 1)

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

3,969,165 11,907,496 5,953,748 2,976,874 1,488,437 4,465,312 2,232,656 1,116,328 558,164 279,082 139,541 418,624 209,312 104,656 52,328 26,164 13,082 6,541 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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