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Atlas › Integer Profiles › Node 36,242,556

36,242,556

22 × 3 × 72 × 61637
Abundant Even Composite

36,242,556 factors as 2^2 × 3 × 7^2 × 61637. Its 36 positive divisors give a proper-divisor sum of 62,131,692, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 61637
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 98,374,248
Proper Divisor Sum 62,131,692
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36242551 ← → #36242581

Radix Representation

Decimal 36242556
Binary 10001010010000010001111100 (26 bits)
Octal 0o212202174
Hexadecimal 0x229047C

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 61,637 123,274 184,911 246,548 369,822 431,459 739,644 862,918 1,294,377 1,725,836 2,588,754 3,020,213 5,177,508 6,040,426 9,060,639 12,080,852 18,121,278 36,242,556

Collatz Trajectory (214 steps to reach 1)

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

36,242,556 18,121,278 9,060,639 27,181,918 13,590,959 40,772,878 20,386,439 61,159,318 30,579,659 91,738,978 45,869,489 137,608,468 68,804,234 34,402,117 103,206,352 51,603,176 25,801,588 12,900,794 6,450,397 19,351,192 9,675,596 4,837,798 2,418,899 7,256,698 3,628,349 10,885,048 5,442,524 2,721,262 1,360,631 4,081,894 2,040,947 6,122,842 3,061,421 9,184,264 4,592,132 2,296,066 1,148,033 3,444,100 1,722,050 861,025 2,583,076 1,291,538 645,769 1,937,308 968,654 484,327 1,452,982 726,491 2,179,474 1,089,737 3,269,212 1,634,606 817,303 2,451,910 1,225,955 3,677,866 1,838,933 5,516,800 2,758,400 1,379,200

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