λ
Sigma Notebook

7,797,942

2 × 32 × 19 × 1512
Abundant Even Composite

7,797,942 is even and not a perfect square. Its factorization is 2 × 3^2 × 19 × 151^2 and its 36 divisors sum to 17,903,340.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 151^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,903,340
Proper Divisor Sum 10,105,398
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7797919 ← → #7797953

Radix Representation

Decimal 7797942
Binary 11101101111110010110110 (23 bits)
Octal 0o35576266
Hexadecimal 0x76FCB6

Divisor Catalog (36)

1 2 3 6 9 18 19 38 57 114 151 171 302 342 453 906 1,359 2,718 2,869 5,738 8,607 17,214 22,801 25,821 45,602 51,642 68,403 136,806 205,209 410,418 433,219 866,438 1,299,657 2,599,314 3,898,971 7,797,942

Collatz Trajectory (155 steps to reach 1)

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

7,797,942 3,898,971 11,696,914 5,848,457 17,545,372 8,772,686 4,386,343 13,159,030 6,579,515 19,738,546 9,869,273 29,607,820 14,803,910 7,401,955 22,205,866 11,102,933 33,308,800 16,654,400 8,327,200 4,163,600 2,081,800 1,040,900 520,450 260,225 780,676 390,338 195,169 585,508 292,754 146,377 439,132 219,566 109,783 329,350 164,675 494,026 247,013 741,040 370,520 185,260 92,630 46,315 138,946 69,473 208,420 104,210 52,105 156,316 78,158 39,079 117,238 58,619 175,858 87,929 263,788 131,894 65,947 197,842 98,921 296,764

More profiles

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