6,509,657

7 × 11 × 17 × 4973

6,509,657 factors as 7 × 11 × 17 × 4973. Its 16 positive divisors give a proper-divisor sum of 2,085,415, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 7 × 11 × 17 × 4973

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,595,072

Proper Divisor Sum 2,085,415

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6509617 ← → #6509677

Radix Representation

Decimal	6509657
Binary	11000110101010001011001 (23 bits)
Octal	0o30652131
Hexadecimal	0x635459

Divisor Catalog (16)

1 7 11 17 77 119 187 1,309 4,973 34,811 54,703 84,541 382,921 591,787 929,951 6,509,657

Collatz Trajectory (209 steps to reach 1)

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

6,509,657 19,528,972 9,764,486 4,882,243 14,646,730 7,323,365 21,970,096 10,985,048 5,492,524 2,746,262 1,373,131 4,119,394 2,059,697 6,179,092 3,089,546 1,544,773 4,634,320 2,317,160 1,158,580 579,290 289,645 868,936 434,468 217,234 108,617 325,852 162,926 81,463 244,390 122,195 366,586 183,293 549,880 274,940 137,470 68,735 206,206 103,103 309,310 154,655 463,966 231,983 695,950 347,975 1,043,926 521,963 1,565,890 782,945 2,348,836 1,174,418 587,209 1,761,628 880,814 440,407 1,321,222 660,611 1,981,834 990,917 2,972,752 1,486,376

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