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Atlas › Integer Profiles › Node 2,017,743

2,017,743

3 × 7 × 13 × 19 × 389
Deficient Odd Composite

2,017,743 factors as 3 × 7 × 13 × 19 × 389. Its 32 positive divisors give a proper-divisor sum of 1,476,657, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 19 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,494,400
Proper Divisor Sum 1,476,657
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2017727 ← → #2017751

Radix Representation

Decimal 2017743
Binary 111101100100111001111 (21 bits)
Octal 0o7544717
Hexadecimal 0x1EC9CF

Divisor Catalog (32)

1 3 7 13 19 21 39 57 91 133 247 273 389 399 741 1,167 1,729 2,723 5,057 5,187 7,391 8,169 15,171 22,173 35,399 51,737 96,083 106,197 155,211 288,249 672,581 2,017,743

Collatz Trajectory (135 steps to reach 1)

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

2,017,743 6,053,230 3,026,615 9,079,846 4,539,923 13,619,770 6,809,885 20,429,656 10,214,828 5,107,414 2,553,707 7,661,122 3,830,561 11,491,684 5,745,842 2,872,921 8,618,764 4,309,382 2,154,691 6,464,074 3,232,037 9,696,112 4,848,056 2,424,028 1,212,014 606,007 1,818,022 909,011 2,727,034 1,363,517 4,090,552 2,045,276 1,022,638 511,319 1,533,958 766,979 2,300,938 1,150,469 3,451,408 1,725,704 862,852 431,426 215,713 647,140 323,570 161,785 485,356 242,678 121,339 364,018 182,009 546,028 273,014 136,507 409,522 204,761 614,284 307,142 153,571 460,714

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