973,768

2³ × 121721

973,768 factors as 2^3 × 121721. Its 8 positive divisors give a proper-divisor sum of 852,062, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 121721

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,825,830

Proper Divisor Sum 852,062

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #973759 ← → #973781

Radix Representation

Decimal	973768
Binary	11101101101111001000 (20 bits)
Octal	0o3555710
Hexadecimal	0xEDBC8

Divisor Catalog (8)

1 2 4 8 121,721 243,442 486,884 973,768

Collatz Trajectory (201 steps to reach 1)

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

973,768 486,884 243,442 121,721 365,164 182,582 91,291 273,874 136,937 410,812 205,406 102,703 308,110 154,055 462,166 231,083 693,250 346,625 1,039,876 519,938 259,969 779,908 389,954 194,977 584,932 292,466 146,233 438,700 219,350 109,675 329,026 164,513 493,540 246,770 123,385 370,156 185,078 92,539 277,618 138,809 416,428 208,214 104,107 312,322 156,161 468,484 234,242 117,121 351,364 175,682 87,841 263,524 131,762 65,881 197,644 98,822 49,411 148,234 74,117 222,352

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