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Atlas › Integer Profiles › Node 16,012,017

16,012,017

32 × 7 × 41 × 6199
Deficient Odd Composite

16,012,017 factors as 3^2 × 7 × 41 × 6199. Its 24 positive divisors give a proper-divisor sum of 11,069,583, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 41 × 6199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 27,081,600
Proper Divisor Sum 11,069,583
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #16011997 ← → #16012037

Radix Representation

Decimal 16012017
Binary 111101000101001011110001 (24 bits)
Octal 0o75051361
Hexadecimal 0xF452F1

Divisor Catalog (24)

1 3 7 9 21 41 63 123 287 369 861 2,583 6,199 18,597 43,393 55,791 130,179 254,159 390,537 762,477 1,779,113 2,287,431 5,337,339 16,012,017

Collatz Trajectory (143 steps to reach 1)

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

16,012,017 48,036,052 24,018,026 12,009,013 36,027,040 18,013,520 9,006,760 4,503,380 2,251,690 1,125,845 3,377,536 1,688,768 844,384 422,192 211,096 105,548 52,774 26,387 79,162 39,581 118,744 59,372 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825

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