λ
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Atlas › Integer Profiles › Node 4,359,243

4,359,243

3 × 7 × 41 × 61 × 83
Deficient Odd Composite

4,359,243 factors as 3 × 7 × 41 × 61 × 83. Its 32 positive divisors give a proper-divisor sum of 2,640,309, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3 × 7 × 41 × 61 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,999,552
Proper Divisor Sum 2,640,309
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4359241 ← → #4359247

Radix Representation

Decimal 4359243
Binary 10000101000010001001011 (23 bits)
Octal 0o20502113
Hexadecimal 0x42844B

Divisor Catalog (32)

1 3 7 21 41 61 83 123 183 249 287 427 581 861 1,281 1,743 2,501 3,403 5,063 7,503 10,209 15,189 17,507 23,821 35,441 52,521 71,463 106,323 207,583 622,749 1,453,081 4,359,243

Collatz Trajectory (105 steps to reach 1)

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

4,359,243 13,077,730 6,538,865 19,616,596 9,808,298 4,904,149 14,712,448 7,356,224 3,678,112 1,839,056 919,528 459,764 229,882 114,941 344,824 172,412 86,206 43,103 129,310 64,655 193,966 96,983 290,950 145,475 436,426 218,213 654,640 327,320 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030 23,015 69,046 34,523 103,570 51,785 155,356 77,678 38,839 116,518 58,259 174,778 87,389 262,168 131,084 65,542 32,771 98,314 49,157 147,472 73,736 36,868 18,434 9,217 27,652

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