λ
Ratio Atlas

41,985,199

41985199
Deficient Odd Prime

41,985,199 factors as 41985199. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 41985199
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 41,985,200
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #41985161 ← → #41985221

Radix Representation

Decimal 41985199
Binary 10100000001010010010101111 (26 bits)
Octal 0o240122257
Hexadecimal 0x280A4AF

Divisor Catalog (2)

Collatz Trajectory (253 steps to reach 1)

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

41,985,199 125,955,598 62,977,799 188,933,398 94,466,699 283,400,098 141,700,049 425,100,148 212,550,074 106,275,037 318,825,112 159,412,556 79,706,278 39,853,139 119,559,418 59,779,709 179,339,128 89,669,564 44,834,782 22,417,391 67,252,174 33,626,087 100,878,262 50,439,131 151,317,394 75,658,697 226,976,092 113,488,046 56,744,023 170,232,070 85,116,035 255,348,106 127,674,053 383,022,160 191,511,080 95,755,540 47,877,770 23,938,885 71,816,656 35,908,328 17,954,164 8,977,082 4,488,541 13,465,624 6,732,812 3,366,406 1,683,203 5,049,610 2,524,805 7,574,416 3,787,208 1,893,604 946,802 473,401 1,420,204 710,102 355,051 1,065,154 532,577 1,597,732

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