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Atlas › Integer Profiles › Node 36,937,884

36,937,884

22 × 3 × 41 × 193 × 389
Abundant Even Composite

36,937,884 factors as 2^2 × 3 × 41 × 193 × 389. Its 48 positive divisors give a proper-divisor sum of 52,038,276, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 193 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 88,976,160
Proper Divisor Sum 52,038,276
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #36937847 ← → #36937897

Radix Representation

Decimal 36937884
Binary 10001100111010000010011100 (26 bits)
Octal 0o214720234
Hexadecimal 0x233A09C

Divisor Catalog (48)

1 2 3 4 6 12 41 82 123 164 193 246 386 389 492 579 772 778 1,158 1,167 1,556 2,316 2,334 4,668 7,913 15,826 15,949 23,739 31,652 31,898 47,478 47,847 63,796 75,077 94,956 95,694 150,154 191,388 225,231 300,308 450,462 900,924 3,078,157 6,156,314 9,234,471 12,312,628 18,468,942 36,937,884

Collatz Trajectory (108 steps to reach 1)

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

36,937,884 18,468,942 9,234,471 27,703,414 13,851,707 41,555,122 20,777,561 62,332,684 31,166,342 15,583,171 46,749,514 23,374,757 70,124,272 35,062,136 17,531,068 8,765,534 4,382,767 13,148,302 6,574,151 19,722,454 9,861,227 29,583,682 14,791,841 44,375,524 22,187,762 11,093,881 33,281,644 16,640,822 8,320,411 24,961,234 12,480,617 37,441,852 18,720,926 9,360,463 28,081,390 14,040,695 42,122,086 21,061,043 63,183,130 31,591,565 94,774,696 47,387,348 23,693,674 11,846,837 35,540,512 17,770,256 8,885,128 4,442,564 2,221,282 1,110,641 3,331,924 1,665,962 832,981 2,498,944 1,249,472 624,736 312,368 156,184 78,092 39,046

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