1,609,755

3 × 5 × 7 × 15331

1,609,755 factors as 3 × 5 × 7 × 15331. Its 16 positive divisors give a proper-divisor sum of 1,333,989, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 15331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,943,744

Proper Divisor Sum 1,333,989

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1609739 ← → #1609757

Radix Representation

Decimal	1609755
Binary	110001001000000011011 (21 bits)
Octal	0o6110033
Hexadecimal	0x18901B

Divisor Catalog (16)

1 3 5 7 15 21 35 105 15,331 45,993 76,655 107,317 229,965 321,951 536,585 1,609,755

Collatz Trajectory (238 steps to reach 1)

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

1,609,755 4,829,266 2,414,633 7,243,900 3,621,950 1,810,975 5,432,926 2,716,463 8,149,390 4,074,695 12,224,086 6,112,043 18,336,130 9,168,065 27,504,196 13,752,098 6,876,049 20,628,148 10,314,074 5,157,037 15,471,112 7,735,556 3,867,778 1,933,889 5,801,668 2,900,834 1,450,417 4,351,252 2,175,626 1,087,813 3,263,440 1,631,720 815,860 407,930 203,965 611,896 305,948 152,974 76,487 229,462 114,731 344,194 172,097 516,292 258,146 129,073 387,220 193,610 96,805 290,416 145,208 72,604 36,302 18,151 54,454 27,227 81,682 40,841 122,524 61,262

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