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Atlas › Integer Profiles › Node 36,050,344

36,050,344

23 × 11 × 151 × 2713
Abundant Even Composite

36,050,344 factors as 2^3 × 11 × 151 × 2713. Its 32 positive divisors give a proper-divisor sum of 38,204,696, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 151 × 2713
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,255,040
Proper Divisor Sum 38,204,696
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #36050293 ← → #36050359

Radix Representation

Decimal 36050344
Binary 10001001100001010110101000 (26 bits)
Octal 0o211412650
Hexadecimal 0x22615A8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 151 302 604 1,208 1,661 2,713 3,322 5,426 6,644 10,852 13,288 21,704 29,843 59,686 119,372 238,744 409,663 819,326 1,638,652 3,277,304 4,506,293 9,012,586 18,025,172 36,050,344

Collatz Trajectory (152 steps to reach 1)

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

36,050,344 18,025,172 9,012,586 4,506,293 13,518,880 6,759,440 3,379,720 1,689,860 844,930 422,465 1,267,396 633,698 316,849 950,548 475,274 237,637 712,912 356,456 178,228 89,114 44,557 133,672 66,836 33,418 16,709 50,128 25,064 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182

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