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Atlas › Integer Profiles › Node 975,978

975,978

2 × 32 × 59 × 919
Abundant Even Composite

975,978 factors as 2 × 3^2 × 59 × 919. Its 24 positive divisors give a proper-divisor sum of 1,176,822, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 59 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,152,800
Proper Divisor Sum 1,176,822
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #975977 ← → #975991

Radix Representation

Decimal 975978
Binary 11101110010001101010 (20 bits)
Octal 0o3562152
Hexadecimal 0xEE46A

Divisor Catalog (24)

1 2 3 6 9 18 59 118 177 354 531 919 1,062 1,838 2,757 5,514 8,271 16,542 54,221 108,442 162,663 325,326 487,989 975,978

Collatz Trajectory (90 steps to reach 1)

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

975,978 487,989 1,463,968 731,984 365,992 182,996 91,498 45,749 137,248 68,624 34,312 17,156 8,578 4,289 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 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173

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