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Atlas › Integer Profiles › Node 6,976,476

6,976,476

22 × 33 × 13 × 4969
Abundant Even Composite

6,976,476 factors as 2^2 × 3^3 × 13 × 4969. Its 48 positive divisors give a proper-divisor sum of 12,505,924, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 4969
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,482,400
Proper Divisor Sum 12,505,924
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6976471 ← → #6976483

Radix Representation

Decimal 6976476
Binary 11010100111001111011100 (23 bits)
Octal 0o32471734
Hexadecimal 0x6A73DC

Divisor Catalog (48)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1,404 4,969 9,938 14,907 19,876 29,814 44,721 59,628 64,597 89,442 129,194 134,163 178,884 193,791 258,388 268,326 387,582 536,652 581,373 775,164 1,162,746 1,744,119 2,325,492 3,488,238 6,976,476

Collatz Trajectory (191 steps to reach 1)

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

6,976,476 3,488,238 1,744,119 5,232,358 2,616,179 7,848,538 3,924,269 11,772,808 5,886,404 2,943,202 1,471,601 4,414,804 2,207,402 1,103,701 3,311,104 1,655,552 827,776 413,888 206,944 103,472 51,736 25,868 12,934 6,467 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720

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