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4,507,584

26 × 3 × 17 × 1381
Abundant Even Composite

4,507,584 factors as 2^6 × 3 × 17 × 1381. Its 56 positive divisors give a proper-divisor sum of 8,129,424, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 17 × 1381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 12,637,008
Proper Divisor Sum 8,129,424
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4507537 ← → #4507603

Radix Representation

Decimal 4507584
Binary 10001001100011111000000 (23 bits)
Octal 0o21143700
Hexadecimal 0x44C7C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1,088 1,381 1,632 2,762 3,264 4,143 5,524 8,286 11,048 16,572 22,096 23,477 33,144 44,192 46,954 66,288 70,431 88,384 93,908 132,576 140,862 187,816 265,152 281,724 375,632 563,448 751,264 1,126,896 1,502,528 2,253,792 4,507,584

Collatz Trajectory (180 steps to reach 1)

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

4,507,584 2,253,792 1,126,896 563,448 281,724 140,862 70,431 211,294 105,647 316,942 158,471 475,414 237,707 713,122 356,561 1,069,684 534,842 267,421 802,264 401,132 200,566 100,283 300,850 150,425 451,276 225,638 112,819 338,458 169,229 507,688 253,844 126,922 63,461 190,384 95,192 47,596 23,798 11,899 35,698 17,849 53,548 26,774 13,387 40,162 20,081 60,244 30,122 15,061 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265 796

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