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Atlas › Integer Profiles › Node 7,790,692

7,790,692

22 × 7 × 13 × 17 × 1259
Abundant Even Composite

7,790,692 factors as 2^2 × 7 × 13 × 17 × 1259. Its 48 positive divisors give a proper-divisor sum of 9,990,428, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 17 × 1259
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,781,120
Proper Divisor Sum 9,990,428
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7790689 ← → #7790719

Radix Representation

Decimal 7790692
Binary 11101101110000001100100 (23 bits)
Octal 0o35560144
Hexadecimal 0x76E064

Divisor Catalog (48)

1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1,259 1,547 2,518 3,094 5,036 6,188 8,813 16,367 17,626 21,403 32,734 35,252 42,806 65,468 85,612 114,569 149,821 229,138 278,239 299,642 458,276 556,478 599,284 1,112,956 1,947,673 3,895,346 7,790,692

Collatz Trajectory (204 steps to reach 1)

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

7,790,692 3,895,346 1,947,673 5,843,020 2,921,510 1,460,755 4,382,266 2,191,133 6,573,400 3,286,700 1,643,350 821,675 2,465,026 1,232,513 3,697,540 1,848,770 924,385 2,773,156 1,386,578 693,289 2,079,868 1,039,934 519,967 1,559,902 779,951 2,339,854 1,169,927 3,509,782 1,754,891 5,264,674 2,632,337 7,897,012 3,948,506 1,974,253 5,922,760 2,961,380 1,480,690 740,345 2,221,036 1,110,518 555,259 1,665,778 832,889 2,498,668 1,249,334 624,667 1,874,002 937,001 2,811,004 1,405,502 702,751 2,108,254 1,054,127 3,162,382 1,581,191 4,743,574 2,371,787 7,115,362 3,557,681 10,673,044

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