λ
Harmonic Matrix

9,426,460

22 × 5 × 43 × 97 × 113
Abundant Even Composite

9,426,460 has digital root 4. The neighboring primes are 9426427 and 9426467; its proper-divisor sum differs from the starting integer by 1,792,936.

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 97 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,645,856
Proper Divisor Sum 11,219,396
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9426427 ← → #9426467

Radix Representation

Decimal 9426460
Binary 100011111101011000011100 (24 bits)
Octal 0o43753034
Hexadecimal 0x8FD61C

Divisor Catalog (48)

1 2 4 5 10 20 43 86 97 113 172 194 215 226 388 430 452 485 565 860 970 1,130 1,940 2,260 4,171 4,859 8,342 9,718 10,961 16,684 19,436 20,855 21,922 24,295 41,710 43,844 48,590 54,805 83,420 97,180 109,610 219,220 471,323 942,646 1,885,292 2,356,615 4,713,230 9,426,460

Collatz Trajectory (163 steps to reach 1)

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

9,426,460 4,713,230 2,356,615 7,069,846 3,534,923 10,604,770 5,302,385 15,907,156 7,953,578 3,976,789 11,930,368 5,965,184 2,982,592 1,491,296 745,648 372,824 186,412 93,206 46,603 139,810 69,905 209,716 104,858 52,429 157,288 78,644 39,322 19,661 58,984 29,492 14,746 7,373 22,120 11,060 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47

More profiles

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