λ
Math Directory

6,945,863

1021 × 6803
Deficient Odd Composite

6,945,863 factors as 1021 × 6803. Its 4 positive divisors give a proper-divisor sum of 7,825, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 1021 × 6803
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,953,688
Proper Divisor Sum 7,825
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6945857 ← → #6945881

Radix Representation

Decimal 6945863
Binary 11010011111110001000111 (23 bits)
Octal 0o32376107
Hexadecimal 0x69FC47

Divisor Catalog (4)

1 1,021 6,803 6,945,863

Collatz Trajectory (129 steps to reach 1)

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

6,945,863 20,837,590 10,418,795 31,256,386 15,628,193 46,884,580 23,442,290 11,721,145 35,163,436 17,581,718 8,790,859 26,372,578 13,186,289 39,558,868 19,779,434 9,889,717 29,669,152 14,834,576 7,417,288 3,708,644 1,854,322 927,161 2,781,484 1,390,742 695,371 2,086,114 1,043,057 3,129,172 1,564,586 782,293 2,346,880 1,173,440 586,720 293,360 146,680 73,340 36,670 18,335 55,006 27,503 82,510 41,255 123,766 61,883 185,650 92,825 278,476 139,238 69,619 208,858 104,429 313,288 156,644 78,322 39,161 117,484 58,742 29,371 88,114 44,057

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