λ
Ratio Atlas

42,998,327

42998327
Deficient Odd Prime

42,998,327 factors as 42998327. 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 42998327
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 42,998,328
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #42998309 ← → #42998353

Radix Representation

Decimal 42998327
Binary 10100100000001101000110111 (26 bits)
Octal 0o244015067
Hexadecimal 0x2901A37

Divisor Catalog (2)

Collatz Trajectory (204 steps to reach 1)

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

42,998,327 128,994,982 64,497,491 193,492,474 96,746,237 290,238,712 145,119,356 72,559,678 36,279,839 108,839,518 54,419,759 163,259,278 81,629,639 244,888,918 122,444,459 367,333,378 183,666,689 551,000,068 275,500,034 137,750,017 413,250,052 206,625,026 103,312,513 309,937,540 154,968,770 77,484,385 232,453,156 116,226,578 58,113,289 174,339,868 87,169,934 43,584,967 130,754,902 65,377,451 196,132,354 98,066,177 294,198,532 147,099,266 73,549,633 220,648,900 110,324,450 55,162,225 165,486,676 82,743,338 41,371,669 124,115,008 62,057,504 31,028,752 15,514,376 7,757,188 3,878,594 1,939,297 5,817,892 2,908,946 1,454,473 4,363,420 2,181,710 1,090,855 3,272,566 1,636,283

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