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Atlas › Integer Profiles › Node 7,665,232

7,665,232

24 × 17 × 28181
Abundant Even Composite

7,665,232 factors as 2^4 × 17 × 28181. Its 20 positive divisors give a proper-divisor sum of 8,060,324, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 28181
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,725,556
Proper Divisor Sum 8,060,324
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7665197 ← → #7665239

Radix Representation

Decimal 7665232
Binary 11101001111011001010000 (23 bits)
Octal 0o35173120
Hexadecimal 0x74F650

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 28,181 56,362 112,724 225,448 450,896 479,077 958,154 1,916,308 3,832,616 7,665,232

Collatz Trajectory (142 steps to reach 1)

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

7,665,232 3,832,616 1,916,308 958,154 479,077 1,437,232 718,616 359,308 179,654 89,827 269,482 134,741 404,224 202,112 101,056 50,528 25,264 12,632 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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