4,527,414

2 × 3⁴ × 27947

4,527,414 factors as 2 × 3^4 × 27947. Its 20 positive divisors give a proper-divisor sum of 5,617,710, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 27947

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,145,124

Proper Divisor Sum 5,617,710

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4527403 ← → #4527421

Radix Representation

Decimal	4527414
Binary	10001010001010100110110 (23 bits)
Octal	0o21212466
Hexadecimal	0x451536

Divisor Catalog (20)

Collatz Trajectory (131 steps to reach 1)

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

4,527,414 2,263,707 6,791,122 3,395,561 10,186,684 5,093,342 2,546,671 7,640,014 3,820,007 11,460,022 5,730,011 17,190,034 8,595,017 25,785,052 12,892,526 6,446,263 19,338,790 9,669,395 29,008,186 14,504,093 43,512,280 21,756,140 10,878,070 5,439,035 16,317,106 8,158,553 24,475,660 12,237,830 6,118,915 18,356,746 9,178,373 27,535,120 13,767,560 6,883,780 3,441,890 1,720,945 5,162,836 2,581,418 1,290,709 3,872,128 1,936,064 968,032 484,016 242,008 121,004 60,502 30,251 90,754 45,377 136,132 68,066 34,033 102,100 51,050 25,525 76,576 38,288 19,144 9,572 4,786

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