λ
Ratio Atlas

52,554,527

52554527
Deficient Odd Prime

52,554,527 factors as 52554527. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 310 steps.

Prime Factor Structure

Factorization String 52554527
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 52,554,528
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #52554511 ← → #52554529

Radix Representation

Decimal 52554527
Binary 11001000011110101100011111 (26 bits)
Octal 0o310365437
Hexadecimal 0x321EB1F

Divisor Catalog (2)

Collatz Trajectory (310 steps to reach 1)

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

52,554,527 157,663,582 78,831,791 236,495,374 118,247,687 354,743,062 177,371,531 532,114,594 266,057,297 798,171,892 399,085,946 199,542,973 598,628,920 299,314,460 149,657,230 74,828,615 224,485,846 112,242,923 336,728,770 168,364,385 505,093,156 252,546,578 126,273,289 378,819,868 189,409,934 94,704,967 284,114,902 142,057,451 426,172,354 213,086,177 639,258,532 319,629,266 159,814,633 479,443,900 239,721,950 119,860,975 359,582,926 179,791,463 539,374,390 269,687,195 809,061,586 404,530,793 1,213,592,380 606,796,190 303,398,095 910,194,286 455,097,143 1,365,291,430 682,645,715 2,047,937,146 1,023,968,573 3,071,905,720 1,535,952,860 767,976,430 383,988,215 1,151,964,646 575,982,323 1,727,946,970 863,973,485 2,591,920,456

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