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Atlas › Integer Profiles › Node 36,935,696

36,935,696

24 × 7 × 17 × 19 × 1021
Abundant Even Composite

36,935,696 factors as 2^4 × 7 × 17 × 19 × 1021. Its 80 positive divisors give a proper-divisor sum of 54,308,464, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 17 × 19 × 1021
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 91,244,160
Proper Divisor Sum 54,308,464
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #36935687 ← → #36935707

Radix Representation

Decimal 36935696
Binary 10001100111001100000010000 (26 bits)
Octal 0o214714020
Hexadecimal 0x2339810

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 646 952 1,021 1,064 1,292 1,904 2,042 2,128 2,261 2,584 4,084 4,522 5,168 7,147 8,168 9,044 14,294 16,336 17,357 18,088 19,399 28,588 34,714 36,176 38,798 57,176 69,428 77,596 114,352 121,499 135,793 138,856 155,192

Collatz Trajectory (103 steps to reach 1)

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

36,935,696 18,467,848 9,233,924 4,616,962 2,308,481 6,925,444 3,462,722 1,731,361 5,194,084 2,597,042 1,298,521 3,895,564 1,947,782 973,891 2,921,674 1,460,837 4,382,512 2,191,256 1,095,628 547,814 273,907 821,722 410,861 1,232,584 616,292 308,146 154,073 462,220 231,110 115,555 346,666 173,333 520,000 260,000 130,000 65,000 32,500 16,250 8,125 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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