λ
Ratio Atlas

51,156,271

51156271
Deficient Odd Prime

51,156,271 factors as 51156271. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 51156271
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 51,156,272
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #51156253 ← → #51156299

Radix Representation

Decimal 51156271
Binary 11000011001001010100101111 (26 bits)
Octal 0o303112457
Hexadecimal 0x30C952F

Divisor Catalog (2)

Collatz Trajectory (124 steps to reach 1)

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

51,156,271 153,468,814 76,734,407 230,203,222 115,101,611 345,304,834 172,652,417 517,957,252 258,978,626 129,489,313 388,467,940 194,233,970 97,116,985 291,350,956 145,675,478 72,837,739 218,513,218 109,256,609 327,769,828 163,884,914 81,942,457 245,827,372 122,913,686 61,456,843 184,370,530 92,185,265 276,555,796 138,277,898 69,138,949 207,416,848 103,708,424 51,854,212 25,927,106 12,963,553 38,890,660 19,445,330 9,722,665 29,167,996 14,583,998 7,291,999 21,875,998 10,937,999 32,813,998 16,406,999 49,220,998 24,610,499 73,831,498 36,915,749 110,747,248 55,373,624 27,686,812 13,843,406 6,921,703 20,765,110 10,382,555 31,147,666 15,573,833 46,721,500 23,360,750 11,680,375

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