λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,102,015
3,102,015
3 × 5 × 7 × 31 × 953
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 31 × 953
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,861,376
Proper Divisor Sum 2,759,361
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #3101999 ← → #3102017

Radix Representation

Decimal 3102015
Binary 1011110101010100111111 (22 bits)
Octal 0o13652477
Hexadecimal 0x2F553F

Divisor Catalog (32)

1 3 5 7 15 21 31 35 93 105 155 217 465 651 953 1,085 2,859 3,255 4,765 6,671 14,295 20,013 29,543 33,355 88,629 100,065 147,715 206,801 443,145 620,403 1,034,005 3,102,015

Collatz Trajectory (164 steps to reach 1)

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

3,102,015 9,306,046 4,653,023 13,959,070 6,979,535 20,938,606 10,469,303 31,407,910 15,703,955 47,111,866 23,555,933 70,667,800 35,333,900 17,666,950 8,833,475 26,500,426 13,250,213 39,750,640 19,875,320 9,937,660 4,968,830 2,484,415 7,453,246 3,726,623 11,179,870 5,589,935 16,769,806 8,384,903 25,154,710 12,577,355 37,732,066 18,866,033 56,598,100 28,299,050 14,149,525 42,448,576 21,224,288 10,612,144 5,306,072 2,653,036 1,326,518 663,259 1,989,778 994,889 2,984,668 1,492,334 746,167 2,238,502 1,119,251 3,357,754 1,678,877 5,036,632 2,518,316 1,259,158 629,579 1,888,738 944,369 2,833,108 1,416,554 708,277

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 #3,102,014 Browse Full Index Next Integer #3,102,016 →