λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,935,948
42,935,948
22 × 11 × 17 × 61 × 941
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 61 × 941
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 88,306,848
Proper Divisor Sum 45,370,900
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #42935941 ← → #42935951

Radix Representation

Decimal 42935948
Binary 10100011110010011010001100 (26 bits)
Octal 0o243623214
Hexadecimal 0x28F268C

Divisor Catalog (48)

1 2 4 11 17 22 34 44 61 68 122 187 244 374 671 748 941 1,037 1,342 1,882 2,074 2,684 3,764 4,148 10,351 11,407 15,997 20,702 22,814 31,994 41,404 45,628 57,401 63,988 114,802 175,967 229,604 351,934 631,411 703,868 975,817 1,262,822 1,951,634 2,525,644 3,903,268 10,733,987 21,467,974 42,935,948

Collatz Trajectory (266 steps to reach 1)

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

42,935,948 21,467,974 10,733,987 32,201,962 16,100,981 48,302,944 24,151,472 12,075,736 6,037,868 3,018,934 1,509,467 4,528,402 2,264,201 6,792,604 3,396,302 1,698,151 5,094,454 2,547,227 7,641,682 3,820,841 11,462,524 5,731,262 2,865,631 8,596,894 4,298,447 12,895,342 6,447,671 19,343,014 9,671,507 29,014,522 14,507,261 43,521,784 21,760,892 10,880,446 5,440,223 16,320,670 8,160,335 24,481,006 12,240,503 36,721,510 18,360,755 55,082,266 27,541,133 82,623,400 41,311,700 20,655,850 10,327,925 30,983,776 15,491,888 7,745,944 3,872,972 1,936,486 968,243 2,904,730 1,452,365 4,357,096 2,178,548 1,089,274 544,637 1,633,912

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
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