6,768,223

7² × 11 × 29 × 433

Starting at 6,768,223, the Collatz iteration reaches 1 after 108 steps. The first transition is 20304670; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 11 × 29 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,905,680

Proper Divisor Sum 2,137,457

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6768221 ← → #6768257

Radix Representation

Decimal	6768223
Binary	11001110100011001011111 (23 bits)
Octal	0o31643137
Hexadecimal	0x67465F

Divisor Catalog (24)

1 7 11 29 49 77 203 319 433 539 1,421 2,233 3,031 4,763 12,557 15,631 21,217 33,341 87,899 138,127 233,387 615,293 966,889 6,768,223

Collatz Trajectory (108 steps to reach 1)

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

6,768,223 20,304,670 10,152,335 30,457,006 15,228,503 45,685,510 22,842,755 68,528,266 34,264,133 102,792,400 51,396,200 25,698,100 12,849,050 6,424,525 19,273,576 9,636,788 4,818,394 2,409,197 7,227,592 3,613,796 1,806,898 903,449 2,710,348 1,355,174 677,587 2,032,762 1,016,381 3,049,144 1,524,572 762,286 381,143 1,143,430 571,715 1,715,146 857,573 2,572,720 1,286,360 643,180 321,590 160,795 482,386 241,193 723,580 361,790 180,895 542,686 271,343 814,030 407,015 1,221,046 610,523 1,831,570 915,785 2,747,356 1,373,678 686,839 2,060,518 1,030,259 3,090,778 1,545,389

← Previous Integer #6,768,222 Browse Full Index Next Integer #6,768,224 →