λ
Sigma Notebook

9,650,680

23 × 5 × 13 × 67 × 277
Abundant Even Composite

9,650,680 is even and not a perfect square. Its factorization is 2^3 × 5 × 13 × 67 × 277 and its 64 divisors sum to 23,819,040.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 67 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,819,040
Proper Divisor Sum 14,168,360
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9650647 ← → #9650681

Radix Representation

Decimal 9650680
Binary 100100110100000111111000 (24 bits)
Octal 0o44640770
Hexadecimal 0x9341F8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 260 268 277 335 520 536 554 670 871 1,108 1,340 1,385 1,742 2,216 2,680 2,770 3,484 3,601 4,355 5,540 6,968 7,202 8,710 11,080 14,404 17,420 18,005 18,559 28,808 34,840 36,010 37,118 72,020 74,236 92,795 144,040 148,472 185,590 241,267 371,180 482,534 742,360 965,068 1,206,335

Collatz Trajectory (207 steps to reach 1)

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

9,650,680 4,825,340 2,412,670 1,206,335 3,619,006 1,809,503 5,428,510 2,714,255 8,142,766 4,071,383 12,214,150 6,107,075 18,321,226 9,160,613 27,481,840 13,740,920 6,870,460 3,435,230 1,717,615 5,152,846 2,576,423 7,729,270 3,864,635 11,593,906 5,796,953 17,390,860 8,695,430 4,347,715 13,043,146 6,521,573 19,564,720 9,782,360 4,891,180 2,445,590 1,222,795 3,668,386 1,834,193 5,502,580 2,751,290 1,375,645 4,126,936 2,063,468 1,031,734 515,867 1,547,602 773,801 2,321,404 1,160,702 580,351 1,741,054 870,527 2,611,582 1,305,791 3,917,374 1,958,687 5,876,062 2,938,031 8,814,094 4,407,047 13,221,142

More profiles

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