1,779,957

3² × 197773

Starting at 1,779,957, the Collatz iteration reaches 1 after 202 steps. The first transition is 5339872; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 197773

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,571,062

Proper Divisor Sum 791,105

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #1779941 ← → #1779961

Radix Representation

Decimal	1779957
Binary	110110010100011110101 (21 bits)
Octal	0o6624365
Hexadecimal	0x1B28F5

Divisor Catalog (6)

1 3 9 197,773 593,319 1,779,957

Collatz Trajectory (202 steps to reach 1)

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

1,779,957 5,339,872 2,669,936 1,334,968 667,484 333,742 166,871 500,614 250,307 750,922 375,461 1,126,384 563,192 281,596 140,798 70,399 211,198 105,599 316,798 158,399 475,198 237,599 712,798 356,399 1,069,198 534,599 1,603,798 801,899 2,405,698 1,202,849 3,608,548 1,804,274 902,137 2,706,412 1,353,206 676,603 2,029,810 1,014,905 3,044,716 1,522,358 761,179 2,283,538 1,141,769 3,425,308 1,712,654 856,327 2,568,982 1,284,491 3,853,474 1,926,737 5,780,212 2,890,106 1,445,053 4,335,160 2,167,580 1,083,790 541,895 1,625,686 812,843 2,438,530

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