6,401,464

2³ × 293 × 2731

6,401,464 factors as 2^3 × 293 × 2731. Its 16 positive divisors give a proper-divisor sum of 5,646,656, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^3 × 293 × 2731

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,048,120

Proper Divisor Sum 5,646,656

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6401459 ← → #6401467

Radix Representation

Decimal	6401464
Binary	11000011010110110111000 (23 bits)
Octal	0o30326670
Hexadecimal	0x61ADB8

Divisor Catalog (16)

1 2 4 8 293 586 1,172 2,344 2,731 5,462 10,924 21,848 800,183 1,600,366 3,200,732 6,401,464

Collatz Trajectory (147 steps to reach 1)

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

6,401,464 3,200,732 1,600,366 800,183 2,400,550 1,200,275 3,600,826 1,800,413 5,401,240 2,700,620 1,350,310 675,155 2,025,466 1,012,733 3,038,200 1,519,100 759,550 379,775 1,139,326 569,663 1,708,990 854,495 2,563,486 1,281,743 3,845,230 1,922,615 5,767,846 2,883,923 8,651,770 4,325,885 12,977,656 6,488,828 3,244,414 1,622,207 4,866,622 2,433,311 7,299,934 3,649,967 10,949,902 5,474,951 16,424,854 8,212,427 24,637,282 12,318,641 36,955,924 18,477,962 9,238,981 27,716,944 13,858,472 6,929,236 3,464,618 1,732,309 5,196,928 2,598,464 1,299,232 649,616 324,808 162,404 81,202 40,601

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