λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,302,350
45,302,350
2 × 52 × 29 × 157 × 199
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 29 × 157 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 88,164,000
Proper Divisor Sum 42,861,650
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #45302347 ← → #45302351

Radix Representation

Decimal 45302350
Binary 10101100110100001001001110 (26 bits)
Octal 0o254641116
Hexadecimal 0x2B3424E

Divisor Catalog (48)

1 2 5 10 25 29 50 58 145 157 199 290 314 398 725 785 995 1,450 1,570 1,990 3,925 4,553 4,975 5,771 7,850 9,106 9,950 11,542 22,765 28,855 31,243 45,530 57,710 62,486 113,825 144,275 156,215 227,650 288,550 312,430 781,075 906,047 1,562,150 1,812,094 4,530,235 9,060,470 22,651,175 45,302,350

Collatz Trajectory (155 steps to reach 1)

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

45,302,350 22,651,175 67,953,526 33,976,763 101,930,290 50,965,145 152,895,436 76,447,718 38,223,859 114,671,578 57,335,789 172,007,368 86,003,684 43,001,842 21,500,921 64,502,764 32,251,382 16,125,691 48,377,074 24,188,537 72,565,612 36,282,806 18,141,403 54,424,210 27,212,105 81,636,316 40,818,158 20,409,079 61,227,238 30,613,619 91,840,858 45,920,429 137,761,288 68,880,644 34,440,322 17,220,161 51,660,484 25,830,242 12,915,121 38,745,364 19,372,682 9,686,341 29,059,024 14,529,512 7,264,756 3,632,378 1,816,189 5,448,568 2,724,284 1,362,142 681,071 2,043,214 1,021,607 3,064,822 1,532,411 4,597,234 2,298,617 6,895,852 3,447,926 1,723,963

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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