λ
Prime Ledger

3,937,438

2 × 17 × 115807
Deficient Even Composite

3,937,438 has the prime decomposition 2 × 17 × 115807. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 115807
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,253,632
Proper Divisor Sum 2,316,194
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3937411 ← → #3937469

Radix Representation

Decimal 3937438
Binary 1111000001010010011110 (22 bits)
Octal 0o17012236
Hexadecimal 0x3C149E

Divisor Catalog (8)

1 2 17 34 115,807 231,614 1,968,719 3,937,438

Collatz Trajectory (146 steps to reach 1)

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

3,937,438 1,968,719 5,906,158 2,953,079 8,859,238 4,429,619 13,288,858 6,644,429 19,933,288 9,966,644 4,983,322 2,491,661 7,474,984 3,737,492 1,868,746 934,373 2,803,120 1,401,560 700,780 350,390 175,195 525,586 262,793 788,380 394,190 197,095 591,286 295,643 886,930 443,465 1,330,396 665,198 332,599 997,798 498,899 1,496,698 748,349 2,245,048 1,122,524 561,262 280,631 841,894 420,947 1,262,842 631,421 1,894,264 947,132 473,566 236,783 710,350 355,175 1,065,526 532,763 1,598,290 799,145 2,397,436 1,198,718 599,359 1,798,078 899,039

More profiles

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