λ
Math Directory

9,424,881

32 × 107 × 9787
Deficient Odd Composite

9,424,881 factors as 3^2 × 107 × 9787. Its 12 positive divisors give a proper-divisor sum of 4,317,471, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 3^2 × 107 × 9787
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,742,352
Proper Divisor Sum 4,317,471
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9424873 ← → #9424907

Radix Representation

Decimal 9424881
Binary 100011111100111111110001 (24 bits)
Octal 0o43747761
Hexadecimal 0x8FCFF1

Divisor Catalog (12)

1 3 9 107 321 963 9,787 29,361 88,083 1,047,209 3,141,627 9,424,881

Collatz Trajectory (132 steps to reach 1)

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

9,424,881 28,274,644 14,137,322 7,068,661 21,205,984 10,602,992 5,301,496 2,650,748 1,325,374 662,687 1,988,062 994,031 2,982,094 1,491,047 4,473,142 2,236,571 6,709,714 3,354,857 10,064,572 5,032,286 2,516,143 7,548,430 3,774,215 11,322,646 5,661,323 16,983,970 8,491,985 25,475,956 12,737,978 6,368,989 19,106,968 9,553,484 4,776,742 2,388,371 7,165,114 3,582,557 10,747,672 5,373,836 2,686,918 1,343,459 4,030,378 2,015,189 6,045,568 3,022,784 1,511,392 755,696 377,848 188,924 94,462 47,231 141,694 70,847 212,542 106,271 318,814 159,407 478,222 239,111 717,334 358,667

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