λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,944,211

6,944,211

35 × 17 × 412
Deficient Odd Composite

6,944,211 factors as 3^5 × 17 × 41^2. Its 36 positive divisors give a proper-divisor sum of 4,344,885, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3^5 × 17 × 41^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,289,096
Proper Divisor Sum 4,344,885
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6944209 ← → #6944227

Radix Representation

Decimal 6944211
Binary 11010011111010111010011 (23 bits)
Octal 0o32372723
Hexadecimal 0x69F5D3

Divisor Catalog (36)

1 3 9 17 27 41 51 81 123 153 243 369 459 697 1,107 1,377 1,681 2,091 3,321 4,131 5,043 6,273 9,963 15,129 18,819 28,577 45,387 56,457 85,731 136,161 169,371 257,193 408,483 771,579 2,314,737 6,944,211

Collatz Trajectory (191 steps to reach 1)

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

6,944,211 20,832,634 10,416,317 31,248,952 15,624,476 7,812,238 3,906,119 11,718,358 5,859,179 17,577,538 8,788,769 26,366,308 13,183,154 6,591,577 19,774,732 9,887,366 4,943,683 14,831,050 7,415,525 22,246,576 11,123,288 5,561,644 2,780,822 1,390,411 4,171,234 2,085,617 6,256,852 3,128,426 1,564,213 4,692,640 2,346,320 1,173,160 586,580 293,290 146,645 439,936 219,968 109,984 54,992 27,496 13,748 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,944,210 Browse Full Index Next Integer #6,944,212 →