λ
Ratio Atlas

36,767,723

36767723
Deficient Odd Prime

36,767,723 factors as 36767723. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 426 steps.

Prime Factor Structure

Factorization String 36767723
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 36,767,724
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #36767713 ← → #36767741

Radix Representation

Decimal 36767723
Binary 10001100010000011111101011 (26 bits)
Octal 0o214203753
Hexadecimal 0x23107EB

Divisor Catalog (2)

Collatz Trajectory (426 steps to reach 1)

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

36,767,723 110,303,170 55,151,585 165,454,756 82,727,378 41,363,689 124,091,068 62,045,534 31,022,767 93,068,302 46,534,151 139,602,454 69,801,227 209,403,682 104,701,841 314,105,524 157,052,762 78,526,381 235,579,144 117,789,572 58,894,786 29,447,393 88,342,180 44,171,090 22,085,545 66,256,636 33,128,318 16,564,159 49,692,478 24,846,239 74,538,718 37,269,359 111,808,078 55,904,039 167,712,118 83,856,059 251,568,178 125,784,089 377,352,268 188,676,134 94,338,067 283,014,202 141,507,101 424,521,304 212,260,652 106,130,326 53,065,163 159,195,490 79,597,745 238,793,236 119,396,618 59,698,309 179,094,928 89,547,464 44,773,732 22,386,866 11,193,433 33,580,300 16,790,150 8,395,075

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