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Atlas › Integer Profiles › Node 7,296,352

7,296,352

25 × 7 × 32573
Abundant Even Composite

7,296,352 factors as 2^5 × 7 × 32573. Its 24 positive divisors give a proper-divisor sum of 9,120,944, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 32573
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,417,296
Proper Divisor Sum 9,120,944
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7296329 ← → #7296379

Radix Representation

Decimal 7296352
Binary 11011110101010101100000 (23 bits)
Octal 0o33652540
Hexadecimal 0x6F5560

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 32,573 65,146 130,292 228,011 260,584 456,022 521,168 912,044 1,042,336 1,824,088 3,648,176 7,296,352

Collatz Trajectory (111 steps to reach 1)

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

7,296,352 3,648,176 1,824,088 912,044 456,022 228,011 684,034 342,017 1,026,052 513,026 256,513 769,540 384,770 192,385 577,156 288,578 144,289 432,868 216,434 108,217 324,652 162,326 81,163 243,490 121,745 365,236 182,618 91,309 273,928 136,964 68,482 34,241 102,724 51,362 25,681 77,044 38,522 19,261 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715

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