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Atlas › Integer Profiles › Node 36,935,232

36,935,232

26 × 3 × 47 × 4093
Abundant Even Composite

36,935,232 factors as 2^6 × 3 × 47 × 4093. Its 56 positive divisors give a proper-divisor sum of 62,892,864, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 47 × 4093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 99,828,096
Proper Divisor Sum 62,892,864
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36935231 ← → #36935233

Radix Representation

Decimal 36935232
Binary 10001100111001011001000000 (26 bits)
Octal 0o214713100
Hexadecimal 0x2339640

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1,128 1,504 2,256 3,008 4,093 4,512 8,186 9,024 12,279 16,372 24,558 32,744 49,116 65,488 98,232 130,976 192,371 196,464 261,952 384,742 392,928 577,113 769,484 785,856 1,154,226 1,538,968 2,308,452 3,077,936 4,616,904 6,155,872 9,233,808 12,311,744 18,467,616 36,935,232

Collatz Trajectory (103 steps to reach 1)

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

36,935,232 18,467,616 9,233,808 4,616,904 2,308,452 1,154,226 577,113 1,731,340 865,670 432,835 1,298,506 649,253 1,947,760 973,880 486,940 243,470 121,735 365,206 182,603 547,810 273,905 821,716 410,858 205,429 616,288 308,144 154,072 77,036 38,518 19,259 57,778 28,889 86,668 43,334 21,667 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085

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