λ
Harmonic Matrix

7,248,938

2 × 3624469
Deficient Even Composite

7,248,938 has digital root 5. The neighboring primes are 7248893 and 7248949; its proper-divisor sum differs from the starting integer by -3,624,466.

Prime Factor Structure

Factorization String 2 × 3624469
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,873,410
Proper Divisor Sum 3,624,472
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7248893 ← → #7248949

Radix Representation

Decimal 7248938
Binary 11011101001110000101010 (23 bits)
Octal 0o33516052
Hexadecimal 0x6E9C2A

Divisor Catalog (4)

1 2 3,624,469 7,248,938

Collatz Trajectory (90 steps to reach 1)

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

7,248,938 3,624,469 10,873,408 5,436,704 2,718,352 1,359,176 679,588 339,794 169,897 509,692 254,846 127,423 382,270 191,135 573,406 286,703 860,110 430,055 1,290,166 645,083 1,935,250 967,625 2,902,876 1,451,438 725,719 2,177,158 1,088,579 3,265,738 1,632,869 4,898,608 2,449,304 1,224,652 612,326 306,163 918,490 459,245 1,377,736 688,868 344,434 172,217 516,652 258,326 129,163 387,490 193,745 581,236 290,618 145,309 435,928 217,964 108,982 54,491 163,474 81,737 245,212 122,606 61,303 183,910 91,955 275,866

More profiles

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