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Atlas › Integer Profiles › Node 7,136,248

7,136,248

23 × 7 × 192 × 353
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 19^2 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,184,880
Proper Divisor Sum 9,048,632
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7136221 ← → #7136249

Radix Representation

Decimal 7136248
Binary 11011001110001111111000 (23 bits)
Octal 0o33161770
Hexadecimal 0x6CE3F8

Divisor Catalog (48)

1 2 4 7 8 14 19 28 38 56 76 133 152 266 353 361 532 706 722 1,064 1,412 1,444 2,471 2,527 2,824 2,888 4,942 5,054 6,707 9,884 10,108 13,414 19,768 20,216 26,828 46,949 53,656 93,898 127,433 187,796 254,866 375,592 509,732 892,031 1,019,464 1,784,062 3,568,124 7,136,248

Collatz Trajectory (222 steps to reach 1)

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

7,136,248 3,568,124 1,784,062 892,031 2,676,094 1,338,047 4,014,142 2,007,071 6,021,214 3,010,607 9,031,822 4,515,911 13,547,734 6,773,867 20,321,602 10,160,801 30,482,404 15,241,202 7,620,601 22,861,804 11,430,902 5,715,451 17,146,354 8,573,177 25,719,532 12,859,766 6,429,883 19,289,650 9,644,825 28,934,476 14,467,238 7,233,619 21,700,858 10,850,429 32,551,288 16,275,644 8,137,822 4,068,911 12,206,734 6,103,367 18,310,102 9,155,051 27,465,154 13,732,577 41,197,732 20,598,866 10,299,433 30,898,300 15,449,150 7,724,575 23,173,726 11,586,863 34,760,590 17,380,295 52,140,886 26,070,443 78,211,330 39,105,665 117,316,996 58,658,498

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