λ
Math Directory

1,609,819

29 × 55511
Deficient Odd Composite

1,609,819 factors as 29 × 55511. Its 4 positive divisors give a proper-divisor sum of 55,541, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 29 × 55511
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,665,360
Proper Divisor Sum 55,541
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1609807 ← → #1609843

Radix Representation

Decimal 1609819
Binary 110001001000001011011 (21 bits)
Octal 0o6110133
Hexadecimal 0x18905B

Divisor Catalog (4)

1 29 55,511 1,609,819

Collatz Trajectory (207 steps to reach 1)

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

1,609,819 4,829,458 2,414,729 7,244,188 3,622,094 1,811,047 5,433,142 2,716,571 8,149,714 4,074,857 12,224,572 6,112,286 3,056,143 9,168,430 4,584,215 13,752,646 6,876,323 20,628,970 10,314,485 30,943,456 15,471,728 7,735,864 3,867,932 1,933,966 966,983 2,900,950 1,450,475 4,351,426 2,175,713 6,527,140 3,263,570 1,631,785 4,895,356 2,447,678 1,223,839 3,671,518 1,835,759 5,507,278 2,753,639 8,260,918 4,130,459 12,391,378 6,195,689 18,587,068 9,293,534 4,646,767 13,940,302 6,970,151 20,910,454 10,455,227 31,365,682 15,682,841 47,048,524 23,524,262 11,762,131 35,286,394 17,643,197 52,929,592 26,464,796 13,232,398

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