λ
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Atlas › Integer Profiles › Node 28,509,310

28,509,310

2 × 5 × 19 × 181 × 829
Deficient Even Composite

28,509,310 factors as 2 × 5 × 19 × 181 × 829. Its 32 positive divisors give a proper-divisor sum of 25,872,290, so this integer is deficient. The Collatz stopping time is 281 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 181 × 829
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 54,381,600
Proper Divisor Sum 25,872,290
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #28509287 ← → #28509311

Radix Representation

Decimal 28509310
Binary 1101100110000010001111110 (25 bits)
Octal 0o154602176
Hexadecimal 0x1B3047E

Divisor Catalog (32)

1 2 5 10 19 38 95 181 190 362 829 905 1,658 1,810 3,439 4,145 6,878 8,290 15,751 17,195 31,502 34,390 78,755 150,049 157,510 300,098 750,245 1,500,490 2,850,931 5,701,862 14,254,655 28,509,310

Collatz Trajectory (281 steps to reach 1)

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

28,509,310 14,254,655 42,763,966 21,381,983 64,145,950 32,072,975 96,218,926 48,109,463 144,328,390 72,164,195 216,492,586 108,246,293 324,738,880 162,369,440 81,184,720 40,592,360 20,296,180 10,148,090 5,074,045 15,222,136 7,611,068 3,805,534 1,902,767 5,708,302 2,854,151 8,562,454 4,281,227 12,843,682 6,421,841 19,265,524 9,632,762 4,816,381 14,449,144 7,224,572 3,612,286 1,806,143 5,418,430 2,709,215 8,127,646 4,063,823 12,191,470 6,095,735 18,287,206 9,143,603 27,430,810 13,715,405 41,146,216 20,573,108 10,286,554 5,143,277 15,429,832 7,714,916 3,857,458 1,928,729 5,786,188 2,893,094 1,446,547 4,339,642 2,169,821 6,509,464

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