λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,856,642
6,856,642
2 × 13 × 31 × 47 × 181
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 31 × 47 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,741,184
Proper Divisor Sum 4,884,542
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6856631 ← → #6856643

Radix Representation

Decimal 6856642
Binary 11010001001111111000010 (23 bits)
Octal 0o32117702
Hexadecimal 0x689FC2

Divisor Catalog (32)

1 2 13 26 31 47 62 94 181 362 403 611 806 1,222 1,457 2,353 2,914 4,706 5,611 8,507 11,222 17,014 18,941 37,882 72,943 110,591 145,886 221,182 263,717 527,434 3,428,321 6,856,642

Collatz Trajectory (235 steps to reach 1)

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

6,856,642 3,428,321 10,284,964 5,142,482 2,571,241 7,713,724 3,856,862 1,928,431 5,785,294 2,892,647 8,677,942 4,338,971 13,016,914 6,508,457 19,525,372 9,762,686 4,881,343 14,644,030 7,322,015 21,966,046 10,983,023 32,949,070 16,474,535 49,423,606 24,711,803 74,135,410 37,067,705 111,203,116 55,601,558 27,800,779 83,402,338 41,701,169 125,103,508 62,551,754 31,275,877 93,827,632 46,913,816 23,456,908 11,728,454 5,864,227 17,592,682 8,796,341 26,389,024 13,194,512 6,597,256 3,298,628 1,649,314 824,657 2,473,972 1,236,986 618,493 1,855,480 927,740 463,870 231,935 695,806 347,903 1,043,710 521,855 1,565,566

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #6,856,641 Browse Full Index Next Integer #6,856,643 →