λ
Ratio Atlas

27,720,617

27720617
Deficient Odd Prime

27,720,617 factors as 27720617. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 330 steps.

Prime Factor Structure

Factorization String 27720617
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 27,720,618
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #27720613 ← → #27720661

Radix Representation

Decimal 27720617
Binary 1101001101111101110101001 (25 bits)
Octal 0o151575651
Hexadecimal 0x1A6FBA9

Divisor Catalog (2)

Collatz Trajectory (330 steps to reach 1)

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

27,720,617 83,161,852 41,580,926 20,790,463 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 25,317,502 12,658,751 37,976,254

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