λ
Harmonic Matrix

9,425,754

2 × 33 × 13 × 29 × 463
Abundant Even Composite

9,425,754 has digital root 9. The neighboring primes are 9425753 and 9425771; its proper-divisor sum differs from the starting integer by 4,534,092.

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 29 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,385,600
Proper Divisor Sum 13,959,846
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9425753 ← → #9425771

Radix Representation

Decimal 9425754
Binary 100011111101001101011010 (24 bits)
Octal 0o43751532
Hexadecimal 0x8FD35A

Divisor Catalog (60 of 64)

1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 174 234 261 351 377 463 522 702 754 783 926 1,131 1,389 1,566 2,262 2,778 3,393 4,167 6,019 6,786 8,334 10,179 12,038 12,501 13,427 18,057 20,358 25,002 26,854 36,114 40,281 54,171 80,562 108,342 120,843 162,513 174,551 241,686 325,026 349,102 362,529 523,653 725,058 1,047,306

Collatz Trajectory (75 steps to reach 1)

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

9,425,754 4,712,877 14,138,632 7,069,316 3,534,658 1,767,329 5,301,988 2,650,994 1,325,497 3,976,492 1,988,246 994,123 2,982,370 1,491,185 4,473,556 2,236,778 1,118,389 3,355,168 1,677,584 838,792 419,396 209,698 104,849 314,548 157,274 78,637 235,912 117,956 58,978 29,489 88,468 44,234 22,117 66,352 33,176 16,588 8,294 4,147 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664

More profiles

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