5,777,345

5 × 7² × 23581

5,777,345 factors as 5 × 7^2 × 23581. Its 12 positive divisors give a proper-divisor sum of 2,287,699, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 23581

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,065,044

Proper Divisor Sum 2,287,699

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5777323 ← → #5777353

Radix Representation

Decimal	5777345
Binary	10110000010011111000001 (23 bits)
Octal	0o26023701
Hexadecimal	0x5827C1

Divisor Catalog (12)

1 5 7 35 49 245 23,581 117,905 165,067 825,335 1,155,469 5,777,345

Collatz Trajectory (121 steps to reach 1)

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

5,777,345 17,332,036 8,666,018 4,333,009 12,999,028 6,499,514 3,249,757 9,749,272 4,874,636 2,437,318 1,218,659 3,655,978 1,827,989 5,483,968 2,741,984 1,370,992 685,496 342,748 171,374 85,687 257,062 128,531 385,594 192,797 578,392 289,196 144,598 72,299 216,898 108,449 325,348 162,674 81,337 244,012 122,006 61,003 183,010 91,505 274,516 137,258 68,629 205,888 102,944 51,472 25,736 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019

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