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Atlas › Integer Profiles › Node 9,869,766

9,869,766

2 × 3 × 41 × 53 × 757
Abundant Even Composite

9,869,766 factors as 2 × 3 × 41 × 53 × 757. Its 32 positive divisors give a proper-divisor sum of 10,759,962, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 53 × 757
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,629,728
Proper Divisor Sum 10,759,962
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #9869711 ← → #9869777

Radix Representation

Decimal 9869766
Binary 100101101001100111000110 (24 bits)
Octal 0o45514706
Hexadecimal 0x9699C6

Divisor Catalog (32)

1 2 3 6 41 53 82 106 123 159 246 318 757 1,514 2,173 2,271 4,346 4,542 6,519 13,038 31,037 40,121 62,074 80,242 93,111 120,363 186,222 240,726 1,644,961 3,289,922 4,934,883 9,869,766

Collatz Trajectory (176 steps to reach 1)

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

9,869,766 4,934,883 14,804,650 7,402,325 22,206,976 11,103,488 5,551,744 2,775,872 1,387,936 693,968 346,984 173,492 86,746 43,373 130,120 65,060 32,530 16,265 48,796 24,398 12,199 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290

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