λ
Ratio Atlas

42,579,751

42579751
Deficient Odd Prime

42,579,751 factors as 42579751. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 42579751
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 42,579,752
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #42579721 ← → #42579809

Radix Representation

Decimal 42579751
Binary 10100010011011011100100111 (26 bits)
Octal 0o242333447
Hexadecimal 0x289B727

Divisor Catalog (2)

Collatz Trajectory (284 steps to reach 1)

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

42,579,751 127,739,254 63,869,627 191,608,882 95,804,441 287,413,324 143,706,662 71,853,331 215,559,994 107,779,997 323,339,992 161,669,996 80,834,998 40,417,499 121,252,498 60,626,249 181,878,748 90,939,374 45,469,687 136,409,062 68,204,531 204,613,594 102,306,797 306,920,392 153,460,196 76,730,098 38,365,049 115,095,148 57,547,574 28,773,787 86,321,362 43,160,681 129,482,044 64,741,022 32,370,511 97,111,534 48,555,767 145,667,302 72,833,651 218,500,954 109,250,477 327,751,432 163,875,716 81,937,858 40,968,929 122,906,788 61,453,394 30,726,697 92,180,092 46,090,046 23,045,023 69,135,070 34,567,535 103,702,606 51,851,303 155,553,910 77,776,955 233,330,866 116,665,433 349,996,300

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