λ
Prime Ledger

9,049,728

27 × 3 × 23567
Abundant Even Composite

9,049,728 has the prime decomposition 2^7 × 3 × 23567. Its 3 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3 × 23567
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,039,360
Proper Divisor Sum 14,989,632
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9049727 ← → #9049753

Radix Representation

Decimal 9049728
Binary 100010100001011010000000 (24 bits)
Octal 0o42413200
Hexadecimal 0x8A1680

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 23,567 47,134 70,701 94,268 141,402 188,536 282,804 377,072 565,608 754,144 1,131,216 1,508,288 2,262,432 3,016,576 4,524,864 9,049,728

Collatz Trajectory (88 steps to reach 1)

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

9,049,728 4,524,864 2,262,432 1,131,216 565,608 282,804 141,402 70,701 212,104 106,052 53,026 26,513 79,540 39,770 19,885 59,656 29,828 14,914 7,457 22,372 11,186 5,593 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269

More profiles

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