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Atlas › Integer Profiles › Node 6,986,031

6,986,031

3 × 13 × 17 × 41 × 257
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 17 × 41 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,922,688
Proper Divisor Sum 3,936,657
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6986011 ← → #6986047

Radix Representation

Decimal 6986031
Binary 11010101001100100101111 (23 bits)
Octal 0o32514457
Hexadecimal 0x6A992F

Divisor Catalog (32)

1 3 13 17 39 41 51 123 221 257 533 663 697 771 1,599 2,091 3,341 4,369 9,061 10,023 10,537 13,107 27,183 31,611 56,797 136,981 170,391 179,129 410,943 537,387 2,328,677 6,986,031

Collatz Trajectory (191 steps to reach 1)

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

6,986,031 20,958,094 10,479,047 31,437,142 15,718,571 47,155,714 23,577,857 70,733,572 35,366,786 17,683,393 53,050,180 26,525,090 13,262,545 39,787,636 19,893,818 9,946,909 29,840,728 14,920,364 7,460,182 3,730,091 11,190,274 5,595,137 16,785,412 8,392,706 4,196,353 12,589,060 6,294,530 3,147,265 9,441,796 4,720,898 2,360,449 7,081,348 3,540,674 1,770,337 5,311,012 2,655,506 1,327,753 3,983,260 1,991,630 995,815 2,987,446 1,493,723 4,481,170 2,240,585 6,721,756 3,360,878 1,680,439 5,041,318 2,520,659 7,561,978 3,780,989 11,342,968 5,671,484 2,835,742 1,417,871 4,253,614 2,126,807 6,380,422 3,190,211 9,570,634

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