λ
Prime Ledger

7,232,502

2 × 3 × 19 × 63443
Abundant Even Composite

7,232,502 has the prime decomposition 2 × 3 × 19 × 63443. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 63443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,226,560
Proper Divisor Sum 7,994,058
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7232453 ← → #7232503

Radix Representation

Decimal 7232502
Binary 11011100101101111110110 (23 bits)
Octal 0o33455766
Hexadecimal 0x6E5BF6

Divisor Catalog (16)

1 2 3 6 19 38 57 114 63,443 126,886 190,329 380,658 1,205,417 2,410,834 3,616,251 7,232,502

Collatz Trajectory (142 steps to reach 1)

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

7,232,502 3,616,251 10,848,754 5,424,377 16,273,132 8,136,566 4,068,283 12,204,850 6,102,425 18,307,276 9,153,638 4,576,819 13,730,458 6,865,229 20,595,688 10,297,844 5,148,922 2,574,461 7,723,384 3,861,692 1,930,846 965,423 2,896,270 1,448,135 4,344,406 2,172,203 6,516,610 3,258,305 9,774,916 4,887,458 2,443,729 7,331,188 3,665,594 1,832,797 5,498,392 2,749,196 1,374,598 687,299 2,061,898 1,030,949 3,092,848 1,546,424 773,212 386,606 193,303 579,910 289,955 869,866 434,933 1,304,800 652,400 326,200 163,100 81,550 40,775 122,326 61,163 183,490 91,745 275,236

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