λ
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9,648,256

27 × 75377
Deficient Even Composite

9,648,256 factors as 2^7 × 75377. Its 16 positive divisors give a proper-divisor sum of 9,573,134, so this integer is deficient. The Collatz stopping time is 44 steps.

Prime Factor Structure

Factorization String 2^7 × 75377
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,221,390
Proper Divisor Sum 9,573,134
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9648253 ← → #9648259

Radix Representation

Decimal 9648256
Binary 100100110011100010000000 (24 bits)
Octal 0o44634200
Hexadecimal 0x933880

Divisor Catalog (16)

1 2 4 8 16 32 64 128 75,377 150,754 301,508 603,016 1,206,032 2,412,064 4,824,128 9,648,256

Collatz Trajectory (44 steps to reach 1)

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

9,648,256 4,824,128 2,412,064 1,206,032 603,016 301,508 150,754 75,377 226,132 113,066 56,533 169,600 84,800 42,400 21,200 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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