773,575

5² × 11 × 29 × 97

773,575 factors as 5^2 × 11 × 29 × 97. Its 24 positive divisors give a proper-divisor sum of 320,105, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 29 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,093,680

Proper Divisor Sum 320,105

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #773569 ← → #773579

Radix Representation

Decimal	773575
Binary	10111100110111000111 (20 bits)
Octal	0o2746707
Hexadecimal	0xBCDC7

Divisor Catalog (24)

Collatz Trajectory (131 steps to reach 1)

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

773,575 2,320,726 1,160,363 3,481,090 1,740,545 5,221,636 2,610,818 1,305,409 3,916,228 1,958,114 979,057 2,937,172 1,468,586 734,293 2,202,880 1,101,440 550,720 275,360 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740

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