λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,142,191
3,142,191
3 × 13 × 23 × 31 × 113
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 23 × 31 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,902,912
Proper Divisor Sum 1,760,721
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3142187 ← → #3142193

Radix Representation

Decimal 3142191
Binary 1011111111001000101111 (22 bits)
Octal 0o13771057
Hexadecimal 0x2FF22F

Divisor Catalog (32)

1 3 13 23 31 39 69 93 113 299 339 403 713 897 1,209 1,469 2,139 2,599 3,503 4,407 7,797 9,269 10,509 27,807 33,787 45,539 80,569 101,361 136,617 241,707 1,047,397 3,142,191

Collatz Trajectory (133 steps to reach 1)

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

3,142,191 9,426,574 4,713,287 14,139,862 7,069,931 21,209,794 10,604,897 31,814,692 15,907,346 7,953,673 23,861,020 11,930,510 5,965,255 17,895,766 8,947,883 26,843,650 13,421,825 40,265,476 20,132,738 10,066,369 30,199,108 15,099,554 7,549,777 22,649,332 11,324,666 5,662,333 16,987,000 8,493,500 4,246,750 2,123,375 6,370,126 3,185,063 9,555,190 4,777,595 14,332,786 7,166,393 21,499,180 10,749,590 5,374,795 16,124,386 8,062,193 24,186,580 12,093,290 6,046,645 18,139,936 9,069,968 4,534,984 2,267,492 1,133,746 566,873 1,700,620 850,310 425,155 1,275,466 637,733 1,913,200 956,600 478,300 239,150 119,575

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #3,142,190 Browse Full Index Next Integer #3,142,192 →