λ
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3,147,648

27 × 3 × 7 × 1171
Abundant Even Composite

3,147,648 factors as 2^7 × 3 × 7 × 1171. Its 64 positive divisors give a proper-divisor sum of 6,415,872, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 7 × 1171
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,563,520
Proper Divisor Sum 6,415,872
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3147629 ← → #3147649

Radix Representation

Decimal 3147648
Binary 1100000000011110000000 (22 bits)
Octal 0o14003600
Hexadecimal 0x300780

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1,171 1,344 2,342 2,688 3,513 4,684 7,026 8,197 9,368 14,052 16,394 18,736 24,591 28,104 32,788 37,472 49,182 56,208 65,576 74,944 98,364 112,416 131,152 149,888 196,728 224,832 262,304 393,456 449,664 524,608

Collatz Trajectory (58 steps to reach 1)

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

3,147,648 1,573,824 786,912 393,456 196,728 98,364 49,182 24,591 73,774 36,887 110,662 55,331 165,994 82,997 248,992 124,496 62,248 31,124 15,562 7,781 23,344 11,672 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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