λ
Ratio Atlas

36,744,758

2 × 563 × 32633
Deficient Even Composite

36,744,758 factors as 2 × 563 × 32633. Its 8 positive divisors give a proper-divisor sum of 18,471,970, so this integer is deficient. The Collatz stopping time is 289 steps.

Prime Factor Structure

Factorization String 2 × 563 × 32633
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 55,216,728
Proper Divisor Sum 18,471,970
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #36744749 ← → #36744767

Radix Representation

Decimal 36744758
Binary 10001100001010111000110110 (26 bits)
Octal 0o214127066
Hexadecimal 0x230AE36

Divisor Catalog (8)

Collatz Trajectory (289 steps to reach 1)

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

36,744,758 18,372,379 55,117,138 27,558,569 82,675,708 41,337,854 20,668,927 62,006,782 31,003,391 93,010,174 46,505,087 139,515,262 69,757,631 209,272,894 104,636,447 313,909,342 156,954,671 470,864,014 235,432,007 706,296,022 353,148,011 1,059,444,034 529,722,017 1,589,166,052 794,583,026 397,291,513 1,191,874,540 595,937,270 297,968,635 893,905,906 446,952,953 1,340,858,860 670,429,430 335,214,715 1,005,644,146 502,822,073 1,508,466,220 754,233,110 377,116,555 1,131,349,666 565,674,833 1,697,024,500 848,512,250 424,256,125 1,272,768,376 636,384,188 318,192,094 159,096,047 477,288,142 238,644,071 715,932,214 357,966,107 1,073,898,322 536,949,161 1,610,847,484 805,423,742 402,711,871 1,208,135,614 604,067,807 1,812,203,422

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