λ
Ratio Atlas

29,420,161

29420161
Deficient Odd Prime

29,420,161 factors as 29420161. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 312 steps.

Prime Factor Structure

Factorization String 29420161
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 29,420,162
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #29420159 ← → #29420179

Radix Representation

Decimal 29420161
Binary 1110000001110101010000001 (25 bits)
Octal 0o160165201
Hexadecimal 0x1C0EA81

Divisor Catalog (2)

Collatz Trajectory (312 steps to reach 1)

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

29,420,161 88,260,484 44,130,242 22,065,121 66,195,364 33,097,682 16,548,841 49,646,524 24,823,262 12,411,631 37,234,894 18,617,447 55,852,342 27,926,171 83,778,514 41,889,257 125,667,772 62,833,886 31,416,943 94,250,830 47,125,415 141,376,246 70,688,123 212,064,370 106,032,185 318,096,556 159,048,278 79,524,139 238,572,418 119,286,209 357,858,628 178,929,314 89,464,657 268,393,972 134,196,986 67,098,493 201,295,480 100,647,740 50,323,870 25,161,935 75,485,806 37,742,903 113,228,710 56,614,355 169,843,066 84,921,533 254,764,600 127,382,300 63,691,150 31,845,575 95,536,726 47,768,363 143,305,090 71,652,545 214,957,636 107,478,818 53,739,409 161,218,228 80,609,114 40,304,557

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