8,198,298

2 × 3² × 455461

Starting at 8,198,298, the Collatz iteration reaches 1 after 230 steps. The first transition is 4099149; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 455461

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,763,018

Proper Divisor Sum 9,564,720

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8198269 ← → #8198303

Radix Representation

Decimal	8198298
Binary	11111010001100010011010 (23 bits)
Octal	0o37214232
Hexadecimal	0x7D189A

Divisor Catalog (12)

1 2 3 6 9 18 455,461 910,922 1,366,383 2,732,766 4,099,149 8,198,298

Collatz Trajectory (230 steps to reach 1)

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

8,198,298 4,099,149 12,297,448 6,148,724 3,074,362 1,537,181 4,611,544 2,305,772 1,152,886 576,443 1,729,330 864,665 2,593,996 1,296,998 648,499 1,945,498 972,749 2,918,248 1,459,124 729,562 364,781 1,094,344 547,172 273,586 136,793 410,380 205,190 102,595 307,786 153,893 461,680 230,840 115,420 57,710 28,855 86,566 43,283 129,850 64,925 194,776 97,388 48,694 24,347 73,042 36,521 109,564 54,782 27,391 82,174 41,087 123,262 61,631 184,894 92,447 277,342 138,671 416,014 208,007 624,022 312,011

← Previous Integer #8,198,297 Browse Full Index Next Integer #8,198,299 →