λ
Ratio Atlas

36,960,823

36960823
Deficient Odd Prime

36,960,823 factors as 36960823. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 333 steps.

Prime Factor Structure

Factorization String 36960823
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 36,960,824
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #36960811 ← → #36960857

Radix Representation

Decimal 36960823
Binary 10001100111111101000110111 (26 bits)
Octal 0o214775067
Hexadecimal 0x233FA37

Divisor Catalog (2)

Collatz Trajectory (333 steps to reach 1)

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

36,960,823 110,882,470 55,441,235 166,323,706 83,161,853 249,485,560 124,742,780 62,371,390 31,185,695 93,557,086 46,778,543 140,335,630 70,167,815 210,503,446 105,251,723 315,755,170 157,877,585 473,632,756 236,816,378 118,408,189 355,224,568 177,612,284 88,806,142 44,403,071 133,209,214 66,604,607 199,813,822 99,906,911 299,720,734 149,860,367 449,581,102 224,790,551 674,371,654 337,185,827 1,011,557,482 505,778,741 1,517,336,224 758,668,112 379,334,056 189,667,028 94,833,514 47,416,757 142,250,272 71,125,136 35,562,568 17,781,284 8,890,642 4,445,321 13,335,964 6,667,982 3,333,991 10,001,974 5,000,987 15,002,962 7,501,481 22,504,444 11,252,222 5,626,111 16,878,334 8,439,167

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