λ
Integer Codex

6,978,956

22 × 97 × 17987
Deficient Even Composite

For 6,978,956, the 12 positive divisors have a total of 12,339,768. Removing 6,978,956 leaves 5,360,812, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 97 × 17987
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,339,768
Proper Divisor Sum 5,360,812
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #6978941 ← → #6978973

Radix Representation

Decimal 6978956
Binary 11010100111110110001100 (23 bits)
Octal 0o32476614
Hexadecimal 0x6A7D8C

Divisor Catalog (12)

1 2 4 97 194 388 17,987 35,974 71,948 1,744,739 3,489,478 6,978,956

Collatz Trajectory (72 steps to reach 1)

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

6,978,956 3,489,478 1,744,739 5,234,218 2,617,109 7,851,328 3,925,664 1,962,832 981,416 490,708 245,354 122,677 368,032 184,016 92,008 46,004 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

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