λ
Ratio Atlas

36,926,719

36926719
Deficient Odd Prime

36,926,719 factors as 36926719. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 36926719
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 36,926,720
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36926717 ← → #36926741

Radix Representation

Decimal 36926719
Binary 10001100110111010011111111 (26 bits)
Octal 0o214672377
Hexadecimal 0x23374FF

Divisor Catalog (2)

Collatz Trajectory (214 steps to reach 1)

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

36,926,719 110,780,158 55,390,079 166,170,238 83,085,119 249,255,358 124,627,679 373,883,038 186,941,519 560,824,558 280,412,279 841,236,838 420,618,419 1,261,855,258 630,927,629 1,892,782,888 946,391,444 473,195,722 236,597,861 709,793,584 354,896,792 177,448,396 88,724,198 44,362,099 133,086,298 66,543,149 199,629,448 99,814,724 49,907,362 24,953,681 74,861,044 37,430,522 18,715,261 56,145,784 28,072,892 14,036,446 7,018,223 21,054,670 10,527,335 31,582,006 15,791,003 47,373,010 23,686,505 71,059,516 35,529,758 17,764,879 53,294,638 26,647,319 79,941,958 39,970,979 119,912,938 59,956,469 179,869,408 89,934,704 44,967,352 22,483,676 11,241,838 5,620,919 16,862,758 8,431,379

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