λ
Sigma Notebook

909,632

26 × 61 × 233
Abundant Even Composite

909,632 is even and not a perfect square. Its factorization is 2^6 × 61 × 233 and its 28 divisors sum to 1,842,516.

Prime Factor Structure

Factorization String 2^6 × 61 × 233
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 1,842,516
Proper Divisor Sum 932,884
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #909631 ← → #909637

Radix Representation

Decimal 909632
Binary 11011110000101000000 (20 bits)
Octal 0o3360500
Hexadecimal 0xDE140

Divisor Catalog (28)

1 2 4 8 16 32 61 64 122 233 244 466 488 932 976 1,864 1,952 3,728 3,904 7,456 14,213 14,912 28,426 56,852 113,704 227,408 454,816 909,632

Collatz Trajectory (64 steps to reach 1)

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

909,632 454,816 227,408 113,704 56,852 28,426 14,213 42,640 21,320 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

More profiles

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