λ
Prime Ledger

3,713,934

2 × 3 × 7 × 88427
Abundant Even Composite

3,713,934 has the prime decomposition 2 × 3 × 7 × 88427. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 88427
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,489,088
Proper Divisor Sum 4,775,154
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3713929 ← → #3713993

Radix Representation

Decimal 3713934
Binary 1110001010101110001110 (22 bits)
Octal 0o16125616
Hexadecimal 0x38AB8E

Divisor Catalog (16)

1 2 3 6 7 14 21 42 88,427 176,854 265,281 530,562 618,989 1,237,978 1,856,967 3,713,934

Collatz Trajectory (190 steps to reach 1)

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

3,713,934 1,856,967 5,570,902 2,785,451 8,356,354 4,178,177 12,534,532 6,267,266 3,133,633 9,400,900 4,700,450 2,350,225 7,050,676 3,525,338 1,762,669 5,288,008 2,644,004 1,322,002 661,001 1,983,004 991,502 495,751 1,487,254 743,627 2,230,882 1,115,441 3,346,324 1,673,162 836,581 2,509,744 1,254,872 627,436 313,718 156,859 470,578 235,289 705,868 352,934 176,467 529,402 264,701 794,104 397,052 198,526 99,263 297,790 148,895 446,686 223,343 670,030 335,015 1,005,046 502,523 1,507,570 753,785 2,261,356 1,130,678 565,339 1,696,018 848,009

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