1,131,561

3² × 59 × 2131

Starting at 1,131,561, the Collatz iteration reaches 1 after 222 steps. The first transition is 3394684; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 59 × 2131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,662,960

Proper Divisor Sum 531,399

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1131553 ← → #1131569

Radix Representation

Decimal	1131561
Binary	100010100010000101001 (21 bits)
Octal	0o4242051
Hexadecimal	0x114429

Divisor Catalog (12)

1 3 9 59 177 531 2,131 6,393 19,179 125,729 377,187 1,131,561

Collatz Trajectory (222 steps to reach 1)

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

1,131,561 3,394,684 1,697,342 848,671 2,546,014 1,273,007 3,819,022 1,909,511 5,728,534 2,864,267 8,592,802 4,296,401 12,889,204 6,444,602 3,222,301 9,666,904 4,833,452 2,416,726 1,208,363 3,625,090 1,812,545 5,437,636 2,718,818 1,359,409 4,078,228 2,039,114 1,019,557 3,058,672 1,529,336 764,668 382,334 191,167 573,502 286,751 860,254 430,127 1,290,382 645,191 1,935,574 967,787 2,903,362 1,451,681 4,355,044 2,177,522 1,088,761 3,266,284 1,633,142 816,571 2,449,714 1,224,857 3,674,572 1,837,286 918,643 2,755,930 1,377,965 4,133,896 2,066,948 1,033,474 516,737 1,550,212

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