λ
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Atlas › Integer Profiles › Node 16,005,222

16,005,222

2 × 33 × 83 × 3571
Abundant Even Composite

16,005,222 factors as 2 × 3^3 × 83 × 3571. Its 32 positive divisors give a proper-divisor sum of 20,000,538, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 83 × 3571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 36,005,760
Proper Divisor Sum 20,000,538
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #16005221 ← → #16005229

Radix Representation

Decimal 16005222
Binary 111101000011100001100110 (24 bits)
Octal 0o75034146
Hexadecimal 0xF43866

Divisor Catalog (32)

1 2 3 6 9 18 27 54 83 166 249 498 747 1,494 2,241 3,571 4,482 7,142 10,713 21,426 32,139 64,278 96,417 192,834 296,393 592,786 889,179 1,778,358 2,667,537 5,335,074 8,002,611 16,005,222

Collatz Trajectory (218 steps to reach 1)

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

16,005,222 8,002,611 24,007,834 12,003,917 36,011,752 18,005,876 9,002,938 4,501,469 13,504,408 6,752,204 3,376,102 1,688,051 5,064,154 2,532,077 7,596,232 3,798,116 1,899,058 949,529 2,848,588 1,424,294 712,147 2,136,442 1,068,221 3,204,664 1,602,332 801,166 400,583 1,201,750 600,875 1,802,626 901,313 2,703,940 1,351,970 675,985 2,027,956 1,013,978 506,989 1,520,968 760,484 380,242 190,121 570,364 285,182 142,591 427,774 213,887 641,662 320,831 962,494 481,247 1,443,742 721,871 2,165,614 1,082,807 3,248,422 1,624,211 4,872,634 2,436,317 7,308,952 3,654,476

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