λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,128,168
2,128,168
23 × 72 × 61 × 89
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7^2 × 61 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,770,900
Proper Divisor Sum 2,642,732
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2128157 ← → #2128177

Radix Representation

Decimal 2128168
Binary 1000000111100100101000 (22 bits)
Octal 0o10074450
Hexadecimal 0x207928

Divisor Catalog (48)

1 2 4 7 8 14 28 49 56 61 89 98 122 178 196 244 356 392 427 488 623 712 854 1,246 1,708 2,492 2,989 3,416 4,361 4,984 5,429 5,978 8,722 10,858 11,956 17,444 21,716 23,912 34,888 38,003 43,432 76,006 152,012 266,021 304,024 532,042 1,064,084 2,128,168

Collatz Trajectory (122 steps to reach 1)

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

2,128,168 1,064,084 532,042 266,021 798,064 399,032 199,516 99,758 49,879 149,638 74,819 224,458 112,229 336,688 168,344 84,172 42,086 21,043 63,130 31,565 94,696 47,348 23,674 11,837 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377

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 #2,128,167 Browse Full Index Next Integer #2,128,169 →