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954,765

32 × 5 × 72 × 433
Abundant Odd Composite

954,765 factors as 3^2 × 5 × 7^2 × 433. Its 36 positive divisors give a proper-divisor sum of 974,799, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7^2 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,929,564
Proper Divisor Sum 974,799
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #954763 ← → #954827

Radix Representation

Decimal 954765
Binary 11101001000110001101 (20 bits)
Octal 0o3510615
Hexadecimal 0xE918D

Divisor Catalog (36)

1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 433 441 735 1,299 2,165 2,205 3,031 3,897 6,495 9,093 15,155 19,485 21,217 27,279 45,465 63,651 106,085 136,395 190,953 318,255 954,765

Collatz Trajectory (77 steps to reach 1)

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

954,765 2,864,296 1,432,148 716,074 358,037 1,074,112 537,056 268,528 134,264 67,132 33,566 16,783 50,350 25,175 75,526 37,763 113,290 56,645 169,936 84,968 42,484 21,242 10,621 31,864 15,932 7,966 3,983 11,950 5,975 17,926 8,963 26,890 13,445 40,336 20,168 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29

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