6,816,222

2 × 3² × 7 × 47 × 1151

Starting at 6,816,222, the Collatz iteration reaches 1 after 178 steps. The first transition is 3408111; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 47 × 1151

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,252,352

Proper Divisor Sum 10,436,130

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6816179 ← → #6816233

Radix Representation

Decimal	6816222
Binary	11010000000000111011110 (23 bits)
Octal	0o32000736
Hexadecimal	0x6801DE

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1,151 1,974 2,302 2,961 3,453 5,922 6,906 8,057 10,359 16,114 20,718 24,171 48,342 54,097 72,513 108,194 145,026 162,291 324,582 378,679 486,873 757,358 973,746 1,136,037 2,272,074 3,408,111 6,816,222

Collatz Trajectory (178 steps to reach 1)

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

6,816,222 3,408,111 10,224,334 5,112,167 15,336,502 7,668,251 23,004,754 11,502,377 34,507,132 17,253,566 8,626,783 25,880,350 12,940,175 38,820,526 19,410,263 58,230,790 29,115,395 87,346,186 43,673,093 131,019,280 65,509,640 32,754,820 16,377,410 8,188,705 24,566,116 12,283,058 6,141,529 18,424,588 9,212,294 4,606,147 13,818,442 6,909,221 20,727,664 10,363,832 5,181,916 2,590,958 1,295,479 3,886,438 1,943,219 5,829,658 2,914,829 8,744,488 4,372,244 2,186,122 1,093,061 3,279,184 1,639,592 819,796 409,898 204,949 614,848 307,424 153,712 76,856 38,428 19,214 9,607 28,822 14,411 43,234

← Previous Integer #6,816,221 Browse Full Index Next Integer #6,816,223 →