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Atlas › Integer Profiles › Node 8,996,967

8,996,967

33 × 7 × 181 × 263
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 181 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,375,360
Proper Divisor Sum 6,378,393
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #8996963 ← → #8996971

Radix Representation

Decimal 8996967
Binary 100010010100100001100111 (24 bits)
Octal 0o42244147
Hexadecimal 0x894867

Divisor Catalog (32)

1 3 7 9 21 27 63 181 189 263 543 789 1,267 1,629 1,841 2,367 3,801 4,887 5,523 7,101 11,403 16,569 34,209 47,603 49,707 142,809 333,221 428,427 999,663 1,285,281 2,998,989 8,996,967

Collatz Trajectory (111 steps to reach 1)

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

8,996,967 26,990,902 13,495,451 40,486,354 20,243,177 60,729,532 30,364,766 15,182,383 45,547,150 22,773,575 68,320,726 34,160,363 102,481,090 51,240,545 153,721,636 76,860,818 38,430,409 115,291,228 57,645,614 28,822,807 86,468,422 43,234,211 129,702,634 64,851,317 194,553,952 97,276,976 48,638,488 24,319,244 12,159,622 6,079,811 18,239,434 9,119,717 27,359,152 13,679,576 6,839,788 3,419,894 1,709,947 5,129,842 2,564,921 7,694,764 3,847,382 1,923,691 5,771,074 2,885,537 8,656,612 4,328,306 2,164,153 6,492,460 3,246,230 1,623,115 4,869,346 2,434,673 7,304,020 3,652,010 1,826,005 5,478,016 2,739,008 1,369,504 684,752 342,376

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