λ
Ratio Atlas

77,288,173

77288173
Deficient Odd Prime

77,288,173 factors as 77288173. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 316 steps.

Prime Factor Structure

Factorization String 77288173
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 77,288,174
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #77288147 ← → #77288203

Radix Representation

Decimal 77288173
Binary 100100110110101001011101101 (27 bits)
Octal 0o446651355
Hexadecimal 0x49B52ED

Divisor Catalog (2)

Collatz Trajectory (316 steps to reach 1)

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

77,288,173 231,864,520 115,932,260 57,966,130 28,983,065 86,949,196 43,474,598 21,737,299 65,211,898 32,605,949 97,817,848 48,908,924 24,454,462 12,227,231 36,681,694 18,340,847 55,022,542 27,511,271 82,533,814 41,266,907 123,800,722 61,900,361 185,701,084 92,850,542 46,425,271 139,275,814 69,637,907 208,913,722 104,456,861 313,370,584 156,685,292 78,342,646 39,171,323 117,513,970 58,756,985 176,270,956 88,135,478 44,067,739 132,203,218 66,101,609 198,304,828 99,152,414 49,576,207 148,728,622 74,364,311 223,092,934 111,546,467 334,639,402 167,319,701 501,959,104 250,979,552 125,489,776 62,744,888 31,372,444 15,686,222 7,843,111 23,529,334 11,764,667 35,294,002 17,647,001

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