λ
Ratio Atlas

36,960,667

36960667
Deficient Odd Prime

36,960,667 factors as 36960667. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 36960667
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 36,960,668
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36960631 ← → #36960673

Radix Representation

Decimal 36960667
Binary 10001100111111100110011011 (26 bits)
Octal 0o214774633
Hexadecimal 0x233F99B

Divisor Catalog (2)

Collatz Trajectory (227 steps to reach 1)

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

36,960,667 110,882,002 55,441,001 166,323,004 83,161,502 41,580,751 124,742,254 62,371,127 187,113,382 93,556,691 280,670,074 140,335,037 421,005,112 210,502,556 105,251,278 52,625,639 157,876,918 78,938,459 236,815,378 118,407,689 355,223,068 177,611,534 88,805,767 266,417,302 133,208,651 399,625,954 199,812,977 599,438,932 299,719,466 149,859,733 449,579,200 224,789,600 112,394,800 56,197,400 28,098,700 14,049,350 7,024,675 21,074,026 10,537,013 31,611,040 15,805,520 7,902,760 3,951,380 1,975,690 987,845 2,963,536 1,481,768 740,884 370,442 185,221 555,664 277,832 138,916 69,458 34,729 104,188 52,094 26,047 78,142 39,071

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