λ
Prime Ledger

9,227,648

27 × 72091
Deficient Even Composite

9,227,648 has the prime decomposition 2^7 × 72091. Its 2 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 72091
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,383,460
Proper Divisor Sum 9,155,812
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9227641 ← → #9227683

Radix Representation

Decimal 9227648
Binary 100011001100110110000000 (24 bits)
Octal 0o43146600
Hexadecimal 0x8CCD80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 72,091 144,182 288,364 576,728 1,153,456 2,306,912 4,613,824 9,227,648

Collatz Trajectory (119 steps to reach 1)

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

9,227,648 4,613,824 2,306,912 1,153,456 576,728 288,364 144,182 72,091 216,274 108,137 324,412 162,206 81,103 243,310 121,655 364,966 182,483 547,450 273,725 821,176 410,588 205,294 102,647 307,942 153,971 461,914 230,957 692,872 346,436 173,218 86,609 259,828 129,914 64,957 194,872 97,436 48,718 24,359 73,078 36,539 109,618 54,809 164,428 82,214 41,107 123,322 61,661 184,984 92,492 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511 58,534

More profiles

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