λ
Sequence Observatory

6,712,419

3 × 7 × 319639
Deficient Odd Composite

Starting at 6,712,419, the Collatz iteration reaches 1 after 116 steps. The first transition is 20137258; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 319639
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,228,480
Proper Divisor Sum 3,516,061
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6712417 ← → #6712421

Radix Representation

Decimal 6712419
Binary 11001100110110001100011 (23 bits)
Octal 0o31466143
Hexadecimal 0x666C63

Divisor Catalog (8)

1 3 7 21 319,639 958,917 2,237,473 6,712,419

Collatz Trajectory (116 steps to reach 1)

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

6,712,419 20,137,258 10,068,629 30,205,888 15,102,944 7,551,472 3,775,736 1,887,868 943,934 471,967 1,415,902 707,951 2,123,854 1,061,927 3,185,782 1,592,891 4,778,674 2,389,337 7,168,012 3,584,006 1,792,003 5,376,010 2,688,005 8,064,016 4,032,008 2,016,004 1,008,002 504,001 1,512,004 756,002 378,001 1,134,004 567,002 283,501 850,504 425,252 212,626 106,313 318,940 159,470 79,735 239,206 119,603 358,810 179,405 538,216 269,108 134,554 67,277 201,832 100,916 50,458 25,229 75,688 37,844 18,922 9,461 28,384 14,192 7,096

More profiles

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