λ
Ratio Atlas

36,966,949

36966949
Deficient Odd Prime

36,966,949 factors as 36966949. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 36966949
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 36,966,950
Proper Divisor Sum 1
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #36966929 ← → #36966961

Radix Representation

Decimal 36966949
Binary 10001101000001001000100101 (26 bits)
Octal 0o215011045
Hexadecimal 0x2341225

Divisor Catalog (2)

Collatz Trajectory (165 steps to reach 1)

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

36,966,949 110,900,848 55,450,424 27,725,212 13,862,606 6,931,303 20,793,910 10,396,955 31,190,866 15,595,433 46,786,300 23,393,150 11,696,575 35,089,726 17,544,863 52,634,590 26,317,295 78,951,886 39,475,943 118,427,830 59,213,915 177,641,746 88,820,873 266,462,620 133,231,310 66,615,655 199,846,966 99,923,483 299,770,450 149,885,225 449,655,676 224,827,838 112,413,919 337,241,758 168,620,879 505,862,638 252,931,319 758,793,958 379,396,979 1,138,190,938 569,095,469 1,707,286,408 853,643,204 426,821,602 213,410,801 640,232,404 320,116,202 160,058,101 480,174,304 240,087,152 120,043,576 60,021,788 30,010,894 15,005,447 45,016,342 22,508,171 67,524,514 33,762,257 101,286,772 50,643,386

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