λ
Ratio Atlas

17,200,769

17200769
Deficient Odd Prime

17,200,769 factors as 17200769. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 17200769
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 17,200,770
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #17200751 ← → #17200789

Radix Representation

Decimal 17200769
Binary 1000001100111011010000001 (25 bits)
Octal 0o101473201
Hexadecimal 0x1067681

Divisor Catalog (2)

Collatz Trajectory (213 steps to reach 1)

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

17,200,769 51,602,308 25,801,154 12,900,577 38,701,732 19,350,866 9,675,433 29,026,300 14,513,150 7,256,575 21,769,726 10,884,863 32,654,590 16,327,295 48,981,886 24,490,943 73,472,830 36,736,415 110,209,246 55,104,623 165,313,870 82,656,935 247,970,806 123,985,403 371,956,210 185,978,105 557,934,316 278,967,158 139,483,579 418,450,738 209,225,369 627,676,108 313,838,054 156,919,027 470,757,082 235,378,541 706,135,624 353,067,812 176,533,906 88,266,953 264,800,860 132,400,430 66,200,215 198,600,646 99,300,323 297,900,970 148,950,485 446,851,456 223,425,728 111,712,864 55,856,432 27,928,216 13,964,108 6,982,054 3,491,027 10,473,082 5,236,541 15,709,624 7,854,812 3,927,406

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