λ
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Atlas › Integer Profiles › Node 14,001,036

14,001,036

22 × 3 × 7 × 166679
Abundant Even Composite

14,001,036 factors as 2^2 × 3 × 7 × 166679. Its 24 positive divisors give a proper-divisor sum of 23,335,284, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 166679
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 37,336,320
Proper Divisor Sum 23,335,284
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #14001023 ← → #14001041

Radix Representation

Decimal 14001036
Binary 110101011010001110001100 (24 bits)
Octal 0o65321614
Hexadecimal 0xD5A38C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 166,679 333,358 500,037 666,716 1,000,074 1,166,753 2,000,148 2,333,506 3,500,259 4,667,012 7,000,518 14,001,036

Collatz Trajectory (161 steps to reach 1)

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

14,001,036 7,000,518 3,500,259 10,500,778 5,250,389 15,751,168 7,875,584 3,937,792 1,968,896 984,448 492,224 246,112 123,056 61,528 30,764 15,382 7,691 23,074 11,537 34,612 17,306 8,653 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71

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