973,310

2 × 5 × 13 × 7487

973,310 factors as 2 × 5 × 13 × 7487. Its 16 positive divisors give a proper-divisor sum of 913,666, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 7487

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,886,976

Proper Divisor Sum 913,666

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #973289 ← → #973321

Radix Representation

Decimal	973310
Binary	11101101100111111110 (20 bits)
Octal	0o3554776
Hexadecimal	0xED9FE

Divisor Catalog (16)

1 2 5 10 13 26 65 130 7,487 14,974 37,435 74,870 97,331 194,662 486,655 973,310

Collatz Trajectory (90 steps to reach 1)

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

973,310 486,655 1,459,966 729,983 2,189,950 1,094,975 3,284,926 1,642,463 4,927,390 2,463,695 7,391,086 3,695,543 11,086,630 5,543,315 16,629,946 8,314,973 24,944,920 12,472,460 6,236,230 3,118,115 9,354,346 4,677,173 14,031,520 7,015,760 3,507,880 1,753,940 876,970 438,485 1,315,456 657,728 328,864 164,432 82,216 41,108 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172

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