λ
Sequence Observatory

6,712,908

22 × 3 × 71 × 7879
Abundant Even Composite

Starting at 6,712,908, the Collatz iteration reaches 1 after 222 steps. The first transition is 3356454; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 71 × 7879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,886,080
Proper Divisor Sum 9,173,172
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6712903 ← → #6712913

Radix Representation

Decimal 6712908
Binary 11001100110111001001100 (23 bits)
Octal 0o31467114
Hexadecimal 0x666E4C

Divisor Catalog (24)

1 2 3 4 6 12 71 142 213 284 426 852 7,879 15,758 23,637 31,516 47,274 94,548 559,409 1,118,818 1,678,227 2,237,636 3,356,454 6,712,908

Collatz Trajectory (222 steps to reach 1)

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

6,712,908 3,356,454 1,678,227 5,034,682 2,517,341 7,552,024 3,776,012 1,888,006 944,003 2,832,010 1,416,005 4,248,016 2,124,008 1,062,004 531,002 265,501 796,504 398,252 199,126 99,563 298,690 149,345 448,036 224,018 112,009 336,028 168,014 84,007 252,022 126,011 378,034 189,017 567,052 283,526 141,763 425,290 212,645 637,936 318,968 159,484 79,742 39,871 119,614 59,807 179,422 89,711 269,134 134,567 403,702 201,851 605,554 302,777 908,332 454,166 227,083 681,250 340,625 1,021,876 510,938 255,469

More profiles

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