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Atlas › Integer Profiles › Node 18,720,472

18,720,472

23 × 19 × 79 × 1559
Deficient Even Composite

18,720,472 factors as 2^3 × 19 × 79 × 1559. Its 32 positive divisors give a proper-divisor sum of 18,719,528, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 79 × 1559
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,440,000
Proper Divisor Sum 18,719,528
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #18720467 ← → #18720539

Radix Representation

Decimal 18720472
Binary 1000111011010011011011000 (25 bits)
Octal 0o107323330
Hexadecimal 0x11DA6D8

Divisor Catalog (32)

1 2 4 8 19 38 76 79 152 158 316 632 1,501 1,559 3,002 3,118 6,004 6,236 12,008 12,472 29,621 59,242 118,484 123,161 236,968 246,322 492,644 985,288 2,340,059 4,680,118 9,360,236 18,720,472

Collatz Trajectory (151 steps to reach 1)

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

18,720,472 9,360,236 4,680,118 2,340,059 7,020,178 3,510,089 10,530,268 5,265,134 2,632,567 7,897,702 3,948,851 11,846,554 5,923,277 17,769,832 8,884,916 4,442,458 2,221,229 6,663,688 3,331,844 1,665,922 832,961 2,498,884 1,249,442 624,721 1,874,164 937,082 468,541 1,405,624 702,812 351,406 175,703 527,110 263,555 790,666 395,333 1,186,000 593,000 296,500 148,250 74,125 222,376 111,188 55,594 27,797 83,392 41,696 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550

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