λ
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Atlas › Integer Profiles › Node 36,424,432

36,424,432

24 × 11 × 349 × 593
Abundant Even Composite

36,424,432 factors as 2^4 × 11 × 349 × 593. Its 40 positive divisors give a proper-divisor sum of 40,914,368, so this integer is abundant. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 349 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 77,338,800
Proper Divisor Sum 40,914,368
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #36424429 ← → #36424439

Radix Representation

Decimal 36424432
Binary 10001010111100101011110000 (26 bits)
Octal 0o212745360
Hexadecimal 0x22BCAF0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 176 349 593 698 1,186 1,396 2,372 2,792 3,839 4,744 5,584 6,523 7,678 9,488 13,046 15,356 26,092 30,712 52,184 61,424 104,368 206,957 413,914 827,828 1,655,656 2,276,527 3,311,312 4,553,054 9,106,108 18,212,216 36,424,432

Collatz Trajectory (245 steps to reach 1)

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

36,424,432 18,212,216 9,106,108 4,553,054 2,276,527 6,829,582 3,414,791 10,244,374 5,122,187 15,366,562 7,683,281 23,049,844 11,524,922 5,762,461 17,287,384 8,643,692 4,321,846 2,160,923 6,482,770 3,241,385 9,724,156 4,862,078 2,431,039 7,293,118 3,646,559 10,939,678 5,469,839 16,409,518 8,204,759 24,614,278 12,307,139 36,921,418 18,460,709 55,382,128 27,691,064 13,845,532 6,922,766 3,461,383 10,384,150 5,192,075 15,576,226 7,788,113 23,364,340 11,682,170 5,841,085 17,523,256 8,761,628 4,380,814 2,190,407 6,571,222 3,285,611 9,856,834 4,928,417 14,785,252 7,392,626 3,696,313 11,088,940 5,544,470 2,772,235 8,316,706

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