λ
Ratio Atlas

42,999,977

42999977
Deficient Odd Prime

42,999,977 factors as 42999977. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 42999977
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 42,999,978
Proper Divisor Sum 1
Digit Sum / Digital Root 56 (Root: 2)
Adjacent Primes #42999973 ← → #43000019

Radix Representation

Decimal 42999977
Binary 10100100000010000010101001 (26 bits)
Octal 0o244020251
Hexadecimal 0x29020A9

Divisor Catalog (2)

Collatz Trajectory (204 steps to reach 1)

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

42,999,977 128,999,932 64,499,966 32,249,983 96,749,950 48,374,975 145,124,926 72,562,463 217,687,390 108,843,695 326,531,086 163,265,543 489,796,630 244,898,315 734,694,946 367,347,473 1,102,042,420 551,021,210 275,510,605 826,531,816 413,265,908 206,632,954 103,316,477 309,949,432 154,974,716 77,487,358 38,743,679 116,231,038 58,115,519 174,346,558 87,173,279 261,519,838 130,759,919 392,279,758 196,139,879 588,419,638 294,209,819 882,629,458 441,314,729 1,323,944,188 661,972,094 330,986,047 992,958,142 496,479,071 1,489,437,214 744,718,607 2,234,155,822 1,117,077,911 3,351,233,734 1,675,616,867 5,026,850,602 2,513,425,301 7,540,275,904 3,770,137,952 1,885,068,976 942,534,488 471,267,244 235,633,622 117,816,811 353,450,434

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