λ
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Atlas › Integer Profiles › Node 28,297,724

28,297,724

22 × 7 × 13 × 172 × 269
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 17^2 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 64,985,760
Proper Divisor Sum 36,688,036
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #28297723 ← → #28297727

Radix Representation

Decimal 28297724
Binary 1101011111100100111111100 (25 bits)
Octal 0o153744774
Hexadecimal 0x1AFC9FC

Divisor Catalog (60 of 72)

1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 269 289 364 442 476 538 578 884 1,076 1,156 1,547 1,883 2,023 3,094 3,497 3,757 3,766 4,046 4,573 6,188 6,994 7,514 7,532 8,092 9,146 13,988 15,028 18,292 24,479 26,299 32,011 48,958 52,598 59,449 64,022 77,741 97,916 105,196 118,898 128,044 155,482 237,796 310,964

Collatz Trajectory (131 steps to reach 1)

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

28,297,724 14,148,862 7,074,431 21,223,294 10,611,647 31,834,942 15,917,471 47,752,414 23,876,207 71,628,622 35,814,311 107,442,934 53,721,467 161,164,402 80,582,201 241,746,604 120,873,302 60,436,651 181,309,954 90,654,977 271,964,932 135,982,466 67,991,233 203,973,700 101,986,850 50,993,425 152,980,276 76,490,138 38,245,069 114,735,208 57,367,604 28,683,802 14,341,901 43,025,704 21,512,852 10,756,426 5,378,213 16,134,640 8,067,320 4,033,660 2,016,830 1,008,415 3,025,246 1,512,623 4,537,870 2,268,935 6,806,806 3,403,403 10,210,210 5,105,105 15,315,316 7,657,658 3,828,829 11,486,488 5,743,244 2,871,622 1,435,811 4,307,434 2,153,717 6,461,152

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