λ
Harmonic Matrix

9,426,342

2 × 3 × 37 × 42461
Abundant Even Composite

9,426,342 has digital root 3. The neighboring primes are 9426341 and 9426349; its proper-divisor sum differs from the starting integer by 509,988.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 42461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,362,672
Proper Divisor Sum 9,936,330
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9426341 ← → #9426349

Radix Representation

Decimal 9426342
Binary 100011111101010110100110 (24 bits)
Octal 0o43752646
Hexadecimal 0x8FD5A6

Divisor Catalog (16)

1 2 3 6 37 74 111 222 42,461 84,922 127,383 254,766 1,571,057 3,142,114 4,713,171 9,426,342

Collatz Trajectory (194 steps to reach 1)

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

9,426,342 4,713,171 14,139,514 7,069,757 21,209,272 10,604,636 5,302,318 2,651,159 7,953,478 3,976,739 11,930,218 5,965,109 17,895,328 8,947,664 4,473,832 2,236,916 1,118,458 559,229 1,677,688 838,844 419,422 209,711 629,134 314,567 943,702 471,851 1,415,554 707,777 2,123,332 1,061,666 530,833 1,592,500 796,250 398,125 1,194,376 597,188 298,594 149,297 447,892 223,946 111,973 335,920 167,960 83,980 41,990 20,995 62,986 31,493 94,480 47,240 23,620 11,810 5,905 17,716 8,858 4,429 13,288 6,644 3,322 1,661

More profiles

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