λ
Ratio Atlas

53,978,167

53978167
Deficient Odd Prime

53,978,167 factors as 53978167. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 53978167
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 53,978,168
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #53978149 ← → #53978189

Radix Representation

Decimal 53978167
Binary 11001101111010010000110111 (26 bits)
Octal 0o315722067
Hexadecimal 0x337A437

Divisor Catalog (2)

Collatz Trajectory (225 steps to reach 1)

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

53,978,167 161,934,502 80,967,251 242,901,754 121,450,877 364,352,632 182,176,316 91,088,158 45,544,079 136,632,238 68,316,119 204,948,358 102,474,179 307,422,538 153,711,269 461,133,808 230,566,904 115,283,452 57,641,726 28,820,863 86,462,590 43,231,295 129,693,886 64,846,943 194,540,830 97,270,415 291,811,246 145,905,623 437,716,870 218,858,435 656,575,306 328,287,653 984,862,960 492,431,480 246,215,740 123,107,870 61,553,935 184,661,806 92,330,903 276,992,710 138,496,355 415,489,066 207,744,533 623,233,600 311,616,800 155,808,400 77,904,200 38,952,100 19,476,050 9,738,025 29,214,076 14,607,038 7,303,519 21,910,558 10,955,279 32,865,838 16,432,919 49,298,758 24,649,379 73,948,138

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