1,667,589

3 × 7 × 11 × 7219

1,667,589 factors as 3 × 7 × 11 × 7219. Its 16 positive divisors give a proper-divisor sum of 1,104,891, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 7219

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,772,480

Proper Divisor Sum 1,104,891

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #1667579 ← → #1667597

Radix Representation

Decimal	1667589
Binary	110010111001000000101 (21 bits)
Octal	0o6271005
Hexadecimal	0x197205

Divisor Catalog (16)

1 3 7 11 21 33 77 231 7,219 21,657 50,533 79,409 151,599 238,227 555,863 1,667,589

Collatz Trajectory (176 steps to reach 1)

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

1,667,589 5,002,768 2,501,384 1,250,692 625,346 312,673 938,020 469,010 234,505 703,516 351,758 175,879 527,638 263,819 791,458 395,729 1,187,188 593,594 296,797 890,392 445,196 222,598 111,299 333,898 166,949 500,848 250,424 125,212 62,606 31,303 93,910 46,955 140,866 70,433 211,300 105,650 52,825 158,476 79,238 39,619 118,858 59,429 178,288 89,144 44,572 22,286 11,143 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763

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