λ
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Atlas › Integer Profiles › Node 21,099,994

21,099,994

2 × 19 × 29 × 41 × 467
Deficient Even Composite

21,099,994 factors as 2 × 19 × 29 × 41 × 467. Its 32 positive divisors give a proper-divisor sum of 14,280,806, so this integer is deficient. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2 × 19 × 29 × 41 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 35,380,800
Proper Divisor Sum 14,280,806
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #21099977 ← → #21100003

Radix Representation

Decimal 21099994
Binary 1010000011111010111011010 (25 bits)
Octal 0o120372732
Hexadecimal 0x141F5DA

Divisor Catalog (32)

1 2 19 29 38 41 58 82 467 551 779 934 1,102 1,189 1,558 2,378 8,873 13,543 17,746 19,147 22,591 27,086 38,294 45,182 257,317 363,793 514,634 555,263 727,586 1,110,526 10,549,997 21,099,994

Collatz Trajectory (71 steps to reach 1)

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

21,099,994 10,549,997 31,649,992 15,824,996 7,912,498 3,956,249 11,868,748 5,934,374 2,967,187 8,901,562 4,450,781 13,352,344 6,676,172 3,338,086 1,669,043 5,007,130 2,503,565 7,510,696 3,755,348 1,877,674 938,837 2,816,512 1,408,256 704,128 352,064 176,032 88,016 44,008 22,004 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106

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