λ
Ratio Atlas

52,047,311

52047311
Deficient Odd Prime

52,047,311 factors as 52047311. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 52047311
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 52,047,312
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #52047287 ← → #52047323

Radix Representation

Decimal 52047311
Binary 11000110100010110111001111 (26 bits)
Octal 0o306426717
Hexadecimal 0x31A2DCF

Divisor Catalog (2)

Collatz Trajectory (212 steps to reach 1)

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

52,047,311 156,141,934 78,070,967 234,212,902 117,106,451 351,319,354 175,659,677 526,979,032 263,489,516 131,744,758 65,872,379 197,617,138 98,808,569 296,425,708 148,212,854 74,106,427 222,319,282 111,159,641 333,478,924 166,739,462 83,369,731 250,109,194 125,054,597 375,163,792 187,581,896 93,790,948 46,895,474 23,447,737 70,343,212 35,171,606 17,585,803 52,757,410 26,378,705 79,136,116 39,568,058 19,784,029 59,352,088 29,676,044 14,838,022 7,419,011 22,257,034 11,128,517 33,385,552 16,692,776 8,346,388 4,173,194 2,086,597 6,259,792 3,129,896 1,564,948 782,474 391,237 1,173,712 586,856 293,428 146,714 73,357 220,072 110,036 55,018

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