6,877,770

2 × 3 × 5 × 71 × 3229

Starting at 6,877,770, the Collatz iteration reaches 1 after 191 steps. The first transition is 3438885; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 71 × 3229

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,744,320

Proper Divisor Sum 9,866,550

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6877763 ← → #6877771

Radix Representation

Decimal	6877770
Binary	11010001111001001001010 (23 bits)
Octal	0o32171112
Hexadecimal	0x68F24A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 71 142 213 355 426 710 1,065 2,130 3,229 6,458 9,687 16,145 19,374 32,290 48,435 96,870 229,259 458,518 687,777 1,146,295 1,375,554 2,292,590 3,438,885 6,877,770

Collatz Trajectory (191 steps to reach 1)

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

6,877,770 3,438,885 10,316,656 5,158,328 2,579,164 1,289,582 644,791 1,934,374 967,187 2,901,562 1,450,781 4,352,344 2,176,172 1,088,086 544,043 1,632,130 816,065 2,448,196 1,224,098 612,049 1,836,148 918,074 459,037 1,377,112 688,556 344,278 172,139 516,418 258,209 774,628 387,314 193,657 580,972 290,486 145,243 435,730 217,865 653,596 326,798 163,399 490,198 245,099 735,298 367,649 1,102,948 551,474 275,737 827,212 413,606 206,803 620,410 310,205 930,616 465,308 232,654 116,327 348,982 174,491 523,474 261,737

← Previous Integer #6,877,769 Browse Full Index Next Integer #6,877,771 →