λ
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Atlas › Integer Profiles › Node 6,976,084

6,976,084

22 × 23 × 191 × 397
Deficient Even Composite

6,976,084 factors as 2^2 × 23 × 191 × 397. Its 24 positive divisors give a proper-divisor sum of 5,861,804, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 191 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,837,888
Proper Divisor Sum 5,861,804
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6976051 ← → #6976093

Radix Representation

Decimal 6976084
Binary 11010100111001001010100 (23 bits)
Octal 0o32471124
Hexadecimal 0x6A7254

Divisor Catalog (24)

1 2 4 23 46 92 191 382 397 764 794 1,588 4,393 8,786 9,131 17,572 18,262 36,524 75,827 151,654 303,308 1,744,021 3,488,042 6,976,084

Collatz Trajectory (160 steps to reach 1)

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

6,976,084 3,488,042 1,744,021 5,232,064 2,616,032 1,308,016 654,008 327,004 163,502 81,751 245,254 122,627 367,882 183,941 551,824 275,912 137,956 68,978 34,489 103,468 51,734 25,867 77,602 38,801 116,404 58,202 29,101 87,304 43,652 21,826 10,913 32,740 16,370 8,185 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266

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