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Atlas › Integer Profiles › Node 18,750,082

18,750,082

2 × 13 × 17 × 59 × 719
Deficient Even Composite

18,750,082 factors as 2 × 13 × 17 × 59 × 719. Its 32 positive divisors give a proper-divisor sum of 13,909,118, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 59 × 719
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 32,659,200
Proper Divisor Sum 13,909,118
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #18750047 ← → #18750089

Radix Representation

Decimal 18750082
Binary 1000111100001101010000010 (25 bits)
Octal 0o107415202
Hexadecimal 0x11E1A82

Divisor Catalog (32)

1 2 13 17 26 34 59 118 221 442 719 767 1,003 1,438 1,534 2,006 9,347 12,223 13,039 18,694 24,446 26,078 42,421 84,842 158,899 317,798 551,473 721,157 1,102,946 1,442,314 9,375,041 18,750,082

Collatz Trajectory (102 steps to reach 1)

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

18,750,082 9,375,041 28,125,124 14,062,562 7,031,281 21,093,844 10,546,922 5,273,461 15,820,384 7,910,192 3,955,096 1,977,548 988,774 494,387 1,483,162 741,581 2,224,744 1,112,372 556,186 278,093 834,280 417,140 208,570 104,285 312,856 156,428 78,214 39,107 117,322 58,661 175,984 87,992 43,996 21,998 10,999 32,998 16,499 49,498 24,749 74,248 37,124 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551

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