λ
Harmonic Matrix

7,465,940

22 × 5 × 373297
Abundant Even Composite

7,465,940 has digital root 8. The neighboring primes are 7465937 and 7465957; its proper-divisor sum differs from the starting integer by 746,636.

Prime Factor Structure

Factorization String 2^2 × 5 × 373297
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,678,516
Proper Divisor Sum 8,212,576
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7465937 ← → #7465957

Radix Representation

Decimal 7465940
Binary 11100011110101111010100 (23 bits)
Octal 0o34365724
Hexadecimal 0x71EBD4

Divisor Catalog (12)

1 2 4 5 10 20 373,297 746,594 1,493,188 1,866,485 3,732,970 7,465,940

Collatz Trajectory (129 steps to reach 1)

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

7,465,940 3,732,970 1,866,485 5,599,456 2,799,728 1,399,864 699,932 349,966 174,983 524,950 262,475 787,426 393,713 1,181,140 590,570 295,285 885,856 442,928 221,464 110,732 55,366 27,683 83,050 41,525 124,576 62,288 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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