λ
Sequence Observatory

6,705,972

22 × 32 × 7 × 13 × 23 × 89
Abundant Even Composite

Starting at 6,705,972, the Collatz iteration reaches 1 after 134 steps. The first transition is 3352986; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 13 × 23 × 89
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 22,014,720
Proper Divisor Sum 15,308,748
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6705911 ← → #6705977

Radix Representation

Decimal 6705972
Binary 11001100101001100110100 (23 bits)
Octal 0o31451464
Hexadecimal 0x665334

Divisor Catalog (60 of 144)

1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 89 91 92 117 126 138 156 161 178 182 207 234 252 267 273 276 299 322 356 364 414 468 483 534 546 598 623 644 801 819 828 897 966 1,068 1,092 1,157

Collatz Trajectory (134 steps to reach 1)

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

6,705,972 3,352,986 1,676,493 5,029,480 2,514,740 1,257,370 628,685 1,886,056 943,028 471,514 235,757 707,272 353,636 176,818 88,409 265,228 132,614 66,307 198,922 99,461 298,384 149,192 74,596 37,298 18,649 55,948 27,974 13,987 41,962 20,981 62,944 31,472 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186

More profiles

← Previous Integer #6,705,971 Browse Full Index Next Integer #6,705,973 →