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Atlas › Integer Profiles › Node 5,777,025

5,777,025

3 × 52 × 17 × 23 × 197
Deficient Odd Composite

5,777,025 factors as 3 × 5^2 × 17 × 23 × 197. Its 48 positive divisors give a proper-divisor sum of 4,829,439, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 17 × 23 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,606,464
Proper Divisor Sum 4,829,439
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5777021 ← → #5777047

Radix Representation

Decimal 5777025
Binary 10110000010011010000001 (23 bits)
Octal 0o26023201
Hexadecimal 0x582681

Divisor Catalog (48)

1 3 5 15 17 23 25 51 69 75 85 115 197 255 345 391 425 575 591 985 1,173 1,275 1,725 1,955 2,955 3,349 4,531 4,925 5,865 9,775 10,047 13,593 14,775 16,745 22,655 29,325 50,235 67,965 77,027 83,725 113,275 231,081 251,175 339,825 385,135 1,155,405 1,925,675 5,777,025

Collatz Trajectory (214 steps to reach 1)

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

5,777,025 17,331,076 8,665,538 4,332,769 12,998,308 6,499,154 3,249,577 9,748,732 4,874,366 2,437,183 7,311,550 3,655,775 10,967,326 5,483,663 16,450,990 8,225,495 24,676,486 12,338,243 37,014,730 18,507,365 55,522,096 27,761,048 13,880,524 6,940,262 3,470,131 10,410,394 5,205,197 15,615,592 7,807,796 3,903,898 1,951,949 5,855,848 2,927,924 1,463,962 731,981 2,195,944 1,097,972 548,986 274,493 823,480 411,740 205,870 102,935 308,806 154,403 463,210 231,605 694,816 347,408 173,704 86,852 43,426 21,713 65,140 32,570 16,285 48,856 24,428 12,214 6,107

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