λ
Math Directory

1,672,785

33 × 5 × 12391
Deficient Odd Composite

1,672,785 factors as 3^3 × 5 × 12391. Its 16 positive divisors give a proper-divisor sum of 1,301,295, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 12391
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,974,080
Proper Divisor Sum 1,301,295
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1672771 ← → #1672787

Radix Representation

Decimal 1672785
Binary 110011000011001010001 (21 bits)
Octal 0o6303121
Hexadecimal 0x198651

Divisor Catalog (16)

1 3 5 9 15 27 45 135 12,391 37,173 61,955 111,519 185,865 334,557 557,595 1,672,785

Collatz Trajectory (158 steps to reach 1)

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

1,672,785 5,018,356 2,509,178 1,254,589 3,763,768 1,881,884 940,942 470,471 1,411,414 705,707 2,117,122 1,058,561 3,175,684 1,587,842 793,921 2,381,764 1,190,882 595,441 1,786,324 893,162 446,581 1,339,744 669,872 334,936 167,468 83,734 41,867 125,602 62,801 188,404 94,202 47,101 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976

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