λ
Prime Ledger

7,421,742

2 × 32 × 19 × 21701
Abundant Even Composite

7,421,742 has the prime decomposition 2 × 3^2 × 19 × 21701. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 21701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,927,560
Proper Divisor Sum 9,505,818
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7421717 ← → #7421759

Radix Representation

Decimal 7421742
Binary 11100010011111100101110 (23 bits)
Octal 0o34237456
Hexadecimal 0x713F2E

Divisor Catalog (24)

1 2 3 6 9 18 19 38 57 114 171 342 21,701 43,402 65,103 130,206 195,309 390,618 412,319 824,638 1,236,957 2,473,914 3,710,871 7,421,742

Collatz Trajectory (129 steps to reach 1)

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

7,421,742 3,710,871 11,132,614 5,566,307 16,698,922 8,349,461 25,048,384 12,524,192 6,262,096 3,131,048 1,565,524 782,762 391,381 1,174,144 587,072 293,536 146,768 73,384 36,692 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

More profiles

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