λ
Sigma Notebook

6,972,178

2 × 61 × 57149
Deficient Even Composite

6,972,178 is even and not a perfect square. Its factorization is 2 × 61 × 57149 and its 8 divisors sum to 10,629,900.

Prime Factor Structure

Factorization String 2 × 61 × 57149
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,629,900
Proper Divisor Sum 3,657,722
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6972127 ← → #6972233

Radix Representation

Decimal 6972178
Binary 11010100110001100010010 (23 bits)
Octal 0o32461422
Hexadecimal 0x6A6312

Divisor Catalog (8)

1 2 61 122 57,149 114,298 3,486,089 6,972,178

Collatz Trajectory (191 steps to reach 1)

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

6,972,178 3,486,089 10,458,268 5,229,134 2,614,567 7,843,702 3,921,851 11,765,554 5,882,777 17,648,332 8,824,166 4,412,083 13,236,250 6,618,125 19,854,376 9,927,188 4,963,594 2,481,797 7,445,392 3,722,696 1,861,348 930,674 465,337 1,396,012 698,006 349,003 1,047,010 523,505 1,570,516 785,258 392,629 1,177,888 588,944 294,472 147,236 73,618 36,809 110,428 55,214 27,607 82,822 41,411 124,234 62,117 186,352 93,176 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354

More profiles

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