971,975

5² × 17 × 2287

971,975 factors as 5^2 × 17 × 2287. Its 12 positive divisors give a proper-divisor sum of 304,729, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 5^2 × 17 × 2287

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,276,704

Proper Divisor Sum 304,729

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #971959 ← → #971977

Radix Representation

Decimal	971975
Binary	11101101010011000111 (20 bits)
Octal	0o3552307
Hexadecimal	0xED4C7

Divisor Catalog (12)

1 5 17 25 85 425 2,287 11,435 38,879 57,175 194,395 971,975

Collatz Trajectory (214 steps to reach 1)

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

971,975 2,915,926 1,457,963 4,373,890 2,186,945 6,560,836 3,280,418 1,640,209 4,920,628 2,460,314 1,230,157 3,690,472 1,845,236 922,618 461,309 1,383,928 691,964 345,982 172,991 518,974 259,487 778,462 389,231 1,167,694 583,847 1,751,542 875,771 2,627,314 1,313,657 3,940,972 1,970,486 985,243 2,955,730 1,477,865 4,433,596 2,216,798 1,108,399 3,325,198 1,662,599 4,987,798 2,493,899 7,481,698 3,740,849 11,222,548 5,611,274 2,805,637 8,416,912 4,208,456 2,104,228 1,052,114 526,057 1,578,172 789,086 394,543 1,183,630 591,815 1,775,446 887,723 2,663,170 1,331,585

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