8,205,010

2 × 5 × 11² × 6781

8,205,010 factors as 2 × 5 × 11^2 × 6781. Its 24 positive divisors give a proper-divisor sum of 8,031,098, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 6781

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,236,108

Proper Divisor Sum 8,031,098

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #8204957 ← → #8205011

Radix Representation

Decimal	8205010
Binary	11111010011001011010010 (23 bits)
Octal	0o37231322
Hexadecimal	0x7D32D2

Divisor Catalog (24)

Collatz Trajectory (93 steps to reach 1)

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

8,205,010 4,102,505 12,307,516 6,153,758 3,076,879 9,230,638 4,615,319 13,845,958 6,922,979 20,768,938 10,384,469 31,153,408 15,576,704 7,788,352 3,894,176 1,947,088 973,544 486,772 243,386 121,693 365,080 182,540 91,270 45,635 136,906 68,453 205,360 102,680 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457

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