λ
Harmonic Matrix

9,818,042

2 × 13 × 377617
Deficient Even Composite

9,818,042 has digital root 5. The neighboring primes are 9818023 and 9818047; its proper-divisor sum differs from the starting integer by -3,776,128.

Prime Factor Structure

Factorization String 2 × 13 × 377617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,859,956
Proper Divisor Sum 6,041,914
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9818023 ← → #9818047

Radix Representation

Decimal 9818042
Binary 100101011100111110111010 (24 bits)
Octal 0o45347672
Hexadecimal 0x95CFBA

Divisor Catalog (8)

1 2 13 26 377,617 755,234 4,909,021 9,818,042

Collatz Trajectory (282 steps to reach 1)

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

9,818,042 4,909,021 14,727,064 7,363,532 3,681,766 1,840,883 5,522,650 2,761,325 8,283,976 4,141,988 2,070,994 1,035,497 3,106,492 1,553,246 776,623 2,329,870 1,164,935 3,494,806 1,747,403 5,242,210 2,621,105 7,863,316 3,931,658 1,965,829 5,897,488 2,948,744 1,474,372 737,186 368,593 1,105,780 552,890 276,445 829,336 414,668 207,334 103,667 311,002 155,501 466,504 233,252 116,626 58,313 174,940 87,470 43,735 131,206 65,603 196,810 98,405 295,216 147,608 73,804 36,902 18,451 55,354 27,677 83,032 41,516 20,758 10,379

More profiles

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