7,500,016

2⁴ × 31 × 15121

7,500,016 factors as 2^4 × 31 × 15121. Its 20 positive divisors give a proper-divisor sum of 7,501,008, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 15121

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 15,001,024

Proper Divisor Sum 7,501,008

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7500013 ← → #7500029

Radix Representation

Decimal	7500016
Binary	11100100111000011110000 (23 bits)
Octal	0o34470360
Hexadecimal	0x7270F0

Divisor Catalog (20)

Collatz Trajectory (173 steps to reach 1)

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

7,500,016 3,750,008 1,875,004 937,502 468,751 1,406,254 703,127 2,109,382 1,054,691 3,164,074 1,582,037 4,746,112 2,373,056 1,186,528 593,264 296,632 148,316 74,158 37,079 111,238 55,619 166,858 83,429 250,288 125,144 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322

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