λ
Harmonic Matrix

9,842,499

33 × 364537
Deficient Odd Composite

9,842,499 has digital root 9. The neighboring primes are 9842477 and 9842509; its proper-divisor sum differs from the starting integer by -5,103,478.

Prime Factor Structure

Factorization String 3^3 × 364537
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,581,520
Proper Divisor Sum 4,739,021
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9842477 ← → #9842509

Radix Representation

Decimal 9842499
Binary 100101100010111101000011 (24 bits)
Octal 0o45427503
Hexadecimal 0x962F43

Divisor Catalog (8)

1 3 9 27 364,537 1,093,611 3,280,833 9,842,499

Collatz Trajectory (207 steps to reach 1)

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

9,842,499 29,527,498 14,763,749 44,291,248 22,145,624 11,072,812 5,536,406 2,768,203 8,304,610 4,152,305 12,456,916 6,228,458 3,114,229 9,342,688 4,671,344 2,335,672 1,167,836 583,918 291,959 875,878 437,939 1,313,818 656,909 1,970,728 985,364 492,682 246,341 739,024 369,512 184,756 92,378 46,189 138,568 69,284 34,642 17,321 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243 249,730 124,865 374,596

More profiles

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