λ
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Atlas › Integer Profiles › Node 14,293,994

14,293,994

2 × 11 × 13 × 23 × 41 × 53
Deficient Even Composite

14,293,994 factors as 2 × 11 × 13 × 23 × 41 × 53. Its 64 positive divisors give a proper-divisor sum of 13,139,734, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 23 × 41 × 53
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 27,433,728
Proper Divisor Sum 13,139,734
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #14293987 ← → #14293997

Radix Representation

Decimal 14293994
Binary 110110100001101111101010 (24 bits)
Octal 0o66415752
Hexadecimal 0xDA1BEA

Divisor Catalog (60 of 64)

1 2 11 13 22 23 26 41 46 53 82 106 143 253 286 299 451 506 533 583 598 689 902 943 1,066 1,166 1,219 1,378 1,886 2,173 2,438 3,289 4,346 5,863 6,578 7,579 10,373 11,726 12,259 13,409 15,158 15,847 20,746 23,903 24,518 26,818 28,249 31,694 47,806 49,979 56,498 99,958 134,849 174,317 269,698 310,739 348,634 549,769 621,478 649,727

Collatz Trajectory (148 steps to reach 1)

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

14,293,994 7,146,997 21,440,992 10,720,496 5,360,248 2,680,124 1,340,062 670,031 2,010,094 1,005,047 3,015,142 1,507,571 4,522,714 2,261,357 6,784,072 3,392,036 1,696,018 848,009 2,544,028 1,272,014 636,007 1,908,022 954,011 2,862,034 1,431,017 4,293,052 2,146,526 1,073,263 3,219,790 1,609,895 4,829,686 2,414,843 7,244,530 3,622,265 10,866,796 5,433,398 2,716,699 8,150,098 4,075,049 12,225,148 6,112,574 3,056,287 9,168,862 4,584,431 13,753,294 6,876,647 20,629,942 10,314,971 30,944,914 15,472,457 46,417,372 23,208,686 11,604,343 34,813,030 17,406,515 52,219,546 26,109,773 78,329,320 39,164,660 19,582,330

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