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Atlas › Integer Profiles › Node 14,158,984

14,158,984

23 × 7 × 23 × 10993
Abundant Even Composite

14,158,984 factors as 2^3 × 7 × 23 × 10993. Its 32 positive divisors give a proper-divisor sum of 17,503,736, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 23 × 10993
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,662,720
Proper Divisor Sum 17,503,736
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #14158927 ← → #14158987

Radix Representation

Decimal 14158984
Binary 110110000000110010001000 (24 bits)
Octal 0o66006210
Hexadecimal 0xD80C88

Divisor Catalog (32)

1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1,288 10,993 21,986 43,972 76,951 87,944 153,902 252,839 307,804 505,678 615,608 1,011,356 1,769,873 2,022,712 3,539,746 7,079,492 14,158,984

Collatz Trajectory (99 steps to reach 1)

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

14,158,984 7,079,492 3,539,746 1,769,873 5,309,620 2,654,810 1,327,405 3,982,216 1,991,108 995,554 497,777 1,493,332 746,666 373,333 1,120,000 560,000 280,000 140,000 70,000 35,000 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418

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