2,208,798

2 × 3² × 277 × 443

Starting at 2,208,798, the Collatz iteration reaches 1 after 148 steps. The first transition is 1104399; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 277 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,813,848

Proper Divisor Sum 2,605,050

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2208797 ← → #2208799

Radix Representation

Decimal	2208798
Binary	1000011011010000011110 (22 bits)
Octal	0o10332036
Hexadecimal	0x21B41E

Divisor Catalog (24)

1 2 3 6 9 18 277 443 554 831 886 1,329 1,662 2,493 2,658 3,987 4,986 7,974 122,711 245,422 368,133 736,266 1,104,399 2,208,798

Collatz Trajectory (148 steps to reach 1)

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

2,208,798 1,104,399 3,313,198 1,656,599 4,969,798 2,484,899 7,454,698 3,727,349 11,182,048 5,591,024 2,795,512 1,397,756 698,878 349,439 1,048,318 524,159 1,572,478 786,239 2,358,718 1,179,359 3,538,078 1,769,039 5,307,118 2,653,559 7,960,678 3,980,339 11,941,018 5,970,509 17,911,528 8,955,764 4,477,882 2,238,941 6,716,824 3,358,412 1,679,206 839,603 2,518,810 1,259,405 3,778,216 1,889,108 944,554 472,277 1,416,832 708,416 354,208 177,104 88,552 44,276 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012

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