λ
Ratio Atlas

51,130,591

51130591
Deficient Odd Prime

51,130,591 factors as 51130591. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 51130591
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 51,130,592
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #51130571 ← → #51130609

Radix Representation

Decimal 51130591
Binary 11000011000011000011011111 (26 bits)
Octal 0o303030337
Hexadecimal 0x30C30DF

Divisor Catalog (2)

Collatz Trajectory (230 steps to reach 1)

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

51,130,591 153,391,774 76,695,887 230,087,662 115,043,831 345,131,494 172,565,747 517,697,242 258,848,621 776,545,864 388,272,932 194,136,466 97,068,233 291,204,700 145,602,350 72,801,175 218,403,526 109,201,763 327,605,290 163,802,645 491,407,936 245,703,968 122,851,984 61,425,992 30,712,996 15,356,498 7,678,249 23,034,748 11,517,374 5,758,687 17,276,062 8,638,031 25,914,094 12,957,047 38,871,142 19,435,571 58,306,714 29,153,357 87,460,072 43,730,036 21,865,018 10,932,509 32,797,528 16,398,764 8,199,382 4,099,691 12,299,074 6,149,537 18,448,612 9,224,306 4,612,153 13,836,460 6,918,230 3,459,115 10,377,346 5,188,673 15,566,020 7,783,010 3,891,505 11,674,516

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