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Atlas › Integer Profiles › Node 36,933,488

36,933,488

24 × 421 × 5483
Deficient Even Composite

36,933,488 factors as 2^4 × 421 × 5483. Its 20 positive divisors give a proper-divisor sum of 34,808,200, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^4 × 421 × 5483
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 71,741,688
Proper Divisor Sum 34,808,200
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #36933467 ← → #36933499

Radix Representation

Decimal 36933488
Binary 10001100111000111101110000 (26 bits)
Octal 0o214707560
Hexadecimal 0x2338F70

Divisor Catalog (20)

1 2 4 8 16 421 842 1,684 3,368 5,483 6,736 10,966 21,932 43,864 87,728 2,308,343 4,616,686 9,233,372 18,466,744 36,933,488

Collatz Trajectory (103 steps to reach 1)

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

36,933,488 18,466,744 9,233,372 4,616,686 2,308,343 6,925,030 3,462,515 10,387,546 5,193,773 15,581,320 7,790,660 3,895,330 1,947,665 5,842,996 2,921,498 1,460,749 4,382,248 2,191,124 1,095,562 547,781 1,643,344 821,672 410,836 205,418 102,709 308,128 154,064 77,032 38,516 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085

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