λ
Prime Ledger

7,239,324

22 × 3 × 353 × 1709
Abundant Even Composite

7,239,324 has the prime decomposition 2^2 × 3 × 353 × 1709. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 353 × 1709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,949,520
Proper Divisor Sum 9,710,196
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7239317 ← → #7239347

Radix Representation

Decimal 7239324
Binary 11011100111011010011100 (23 bits)
Octal 0o33473234
Hexadecimal 0x6E769C

Divisor Catalog (24)

1 2 3 4 6 12 353 706 1,059 1,412 1,709 2,118 3,418 4,236 5,127 6,836 10,254 20,508 603,277 1,206,554 1,809,831 2,413,108 3,619,662 7,239,324

Collatz Trajectory (142 steps to reach 1)

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

7,239,324 3,619,662 1,809,831 5,429,494 2,714,747 8,144,242 4,072,121 12,216,364 6,108,182 3,054,091 9,162,274 4,581,137 13,743,412 6,871,706 3,435,853 10,307,560 5,153,780 2,576,890 1,288,445 3,865,336 1,932,668 966,334 483,167 1,449,502 724,751 2,174,254 1,087,127 3,261,382 1,630,691 4,892,074 2,446,037 7,338,112 3,669,056 1,834,528 917,264 458,632 229,316 114,658 57,329 171,988 85,994 42,997 128,992 64,496 32,248 16,124 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926

More profiles

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