λ
Sigma Notebook

9,428,728

23 × 1178591
Deficient Even Composite

9,428,728 is even and not a perfect square. Its factorization is 2^3 × 1178591 and its 8 divisors sum to 17,678,880.

Prime Factor Structure

Factorization String 2^3 × 1178591
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,678,880
Proper Divisor Sum 8,250,152
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9428707 ← → #9428759

Radix Representation

Decimal 9428728
Binary 100011111101111011111000 (24 bits)
Octal 0o43757370
Hexadecimal 0x8FDEF8

Divisor Catalog (8)

1 2 4 8 1,178,591 2,357,182 4,714,364 9,428,728

Collatz Trajectory (132 steps to reach 1)

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

9,428,728 4,714,364 2,357,182 1,178,591 3,535,774 1,767,887 5,303,662 2,651,831 7,955,494 3,977,747 11,933,242 5,966,621 17,899,864 8,949,932 4,474,966 2,237,483 6,712,450 3,356,225 10,068,676 5,034,338 2,517,169 7,551,508 3,775,754 1,887,877 5,663,632 2,831,816 1,415,908 707,954 353,977 1,061,932 530,966 265,483 796,450 398,225 1,194,676 597,338 298,669 896,008 448,004 224,002 112,001 336,004 168,002 84,001 252,004 126,002 63,001 189,004 94,502 47,251 141,754 70,877 212,632 106,316 53,158 26,579 79,738 39,869 119,608 59,804

More profiles

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