1,780,179

3 × 41² × 353

1,780,179 is odd and not a perfect square. Its factorization is 3 × 41^2 × 353 and its 12 divisors sum to 2,439,768.

Prime Factor Structure

Factorization String 3 × 41^2 × 353

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,439,768

Proper Divisor Sum 659,589

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1780171 ← → #1780187

Radix Representation

Decimal	1780179
Binary	110110010100111010011 (21 bits)
Octal	0o6624723
Hexadecimal	0x1B29D3

Divisor Catalog (12)

1 3 41 123 353 1,059 1,681 5,043 14,473 43,419 593,393 1,780,179

Collatz Trajectory (119 steps to reach 1)

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

1,780,179 5,340,538 2,670,269 8,010,808 4,005,404 2,002,702 1,001,351 3,004,054 1,502,027 4,506,082 2,253,041 6,759,124 3,379,562 1,689,781 5,069,344 2,534,672 1,267,336 633,668 316,834 158,417 475,252 237,626 118,813 356,440 178,220 89,110 44,555 133,666 66,833 200,500 100,250 50,125 150,376 75,188 37,594 18,797 56,392 28,196 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768

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