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Atlas › Integer Profiles › Node 3,673,432

3,673,432

23 × 72 × 9371
Abundant Even Composite

3,673,432 factors as 2^3 × 7^2 × 9371. Its 24 positive divisors give a proper-divisor sum of 4,339,628, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 9371
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,013,060
Proper Divisor Sum 4,339,628
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3673429 ← → #3673457

Radix Representation

Decimal 3673432
Binary 1110000000110101011000 (22 bits)
Octal 0o16006530
Hexadecimal 0x380D58

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 9,371 18,742 37,484 65,597 74,968 131,194 262,388 459,179 524,776 918,358 1,836,716 3,673,432

Collatz Trajectory (172 steps to reach 1)

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

3,673,432 1,836,716 918,358 459,179 1,377,538 688,769 2,066,308 1,033,154 516,577 1,549,732 774,866 387,433 1,162,300 581,150 290,575 871,726 435,863 1,307,590 653,795 1,961,386 980,693 2,942,080 1,471,040 735,520 367,760 183,880 91,940 45,970 22,985 68,956 34,478 17,239 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308

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