2,217,098

2 × 13 × 269 × 317

Starting at 2,217,098, the Collatz iteration reaches 1 after 179 steps. The first transition is 1108549; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 269 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,606,120

Proper Divisor Sum 1,389,022

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2217073 ← → #2217101

Radix Representation

Decimal	2217098
Binary	1000011101010010001010 (22 bits)
Octal	0o10352212
Hexadecimal	0x21D48A

Divisor Catalog (16)

1 2 13 26 269 317 538 634 3,497 4,121 6,994 8,242 85,273 170,546 1,108,549 2,217,098

Collatz Trajectory (179 steps to reach 1)

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

2,217,098 1,108,549 3,325,648 1,662,824 831,412 415,706 207,853 623,560 311,780 155,890 77,945 233,836 116,918 58,459 175,378 87,689 263,068 131,534 65,767 197,302 98,651 295,954 147,977 443,932 221,966 110,983 332,950 166,475 499,426 249,713 749,140 374,570 187,285 561,856 280,928 140,464 70,232 35,116 17,558 8,779 26,338 13,169 39,508 19,754 9,877 29,632 14,816 7,408 3,704 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348

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