λ
Sigma Notebook

7,981,748

22 × 19 × 105023
Deficient Even Composite

7,981,748 is even and not a perfect square. Its factorization is 2^2 × 19 × 105023 and its 12 divisors sum to 14,703,360.

Prime Factor Structure

Factorization String 2^2 × 19 × 105023
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,703,360
Proper Divisor Sum 6,721,612
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7981717 ← → #7981783

Radix Representation

Decimal 7981748
Binary 11110011100101010110100 (23 bits)
Octal 0o36345264
Hexadecimal 0x79CAB4

Divisor Catalog (12)

1 2 4 19 38 76 105,023 210,046 420,092 1,995,437 3,990,874 7,981,748

Collatz Trajectory (230 steps to reach 1)

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

7,981,748 3,990,874 1,995,437 5,986,312 2,993,156 1,496,578 748,289 2,244,868 1,122,434 561,217 1,683,652 841,826 420,913 1,262,740 631,370 315,685 947,056 473,528 236,764 118,382 59,191 177,574 88,787 266,362 133,181 399,544 199,772 99,886 49,943 149,830 74,915 224,746 112,373 337,120 168,560 84,280 42,140 21,070 10,535 31,606 15,803 47,410 23,705 71,116 35,558 17,779 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440

More profiles

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