λ
Ratio Atlas

42,093,823

42093823
Deficient Odd Prime

42,093,823 factors as 42093823. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 297 steps.

Prime Factor Structure

Factorization String 42093823
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 42,093,824
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #42093809 ← → #42093833

Radix Representation

Decimal 42093823
Binary 10100000100100110011111111 (26 bits)
Octal 0o240446377
Hexadecimal 0x2824CFF

Divisor Catalog (2)

Collatz Trajectory (297 steps to reach 1)

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

42,093,823 126,281,470 63,140,735 189,422,206 94,711,103 284,133,310 142,066,655 426,199,966 213,099,983 639,299,950 319,649,975 958,949,926 479,474,963 1,438,424,890 719,212,445 2,157,637,336 1,078,818,668 539,409,334 269,704,667 809,114,002 404,557,001 1,213,671,004 606,835,502 303,417,751 910,253,254 455,126,627 1,365,379,882 682,689,941 2,048,069,824 1,024,034,912 512,017,456 256,008,728 128,004,364 64,002,182 32,001,091 96,003,274 48,001,637 144,004,912 72,002,456 36,001,228 18,000,614 9,000,307 27,000,922 13,500,461 40,501,384 20,250,692 10,125,346 5,062,673 15,188,020 7,594,010 3,797,005 11,391,016 5,695,508 2,847,754 1,423,877 4,271,632 2,135,816 1,067,908 533,954 266,977

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