λ
Match Zalai

9,277,696

28 × 36241
Deficient Even Composite

9,277,696 factors as 2^8 × 36241. Its 18 positive divisors give a proper-divisor sum of 9,241,966, so this integer is deficient. The Collatz stopping time is 49 steps.

Prime Factor Structure

Factorization String 2^8 × 36241
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 18,519,662
Proper Divisor Sum 9,241,966
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9277693 ← → #9277727

Radix Representation

Decimal 9277696
Binary 100011011001000100000000 (24 bits)
Octal 0o43310400
Hexadecimal 0x8D9100

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 36,241 72,482 144,964 289,928 579,856 1,159,712 2,319,424 4,638,848 9,277,696

Collatz Trajectory (49 steps to reach 1)

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

9,277,696 4,638,848 2,319,424 1,159,712 579,856 289,928 144,964 72,482 36,241 108,724 54,362 27,181 81,544 40,772 20,386 10,193 30,580 15,290 7,645 22,936 11,468 5,734 2,867 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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