8,276,128

2⁵ × 7 × 36947

8,276,128 factors as 2^5 × 7 × 36947. Its 24 positive divisors give a proper-divisor sum of 10,345,664, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 36947

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,621,792

Proper Divisor Sum 10,345,664

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8276117 ← → #8276131

Radix Representation

Decimal	8276128
Binary	11111100100100010100000 (23 bits)
Octal	0o37444240
Hexadecimal	0x7E48A0

Divisor Catalog (24)

Collatz Trajectory (93 steps to reach 1)

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

8,276,128 4,138,064 2,069,032 1,034,516 517,258 258,629 775,888 387,944 193,972 96,986 48,493 145,480 72,740 36,370 18,185 54,556 27,278 13,639 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459

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