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Atlas › Integer Profiles › Node 20,197,248

20,197,248

27 × 3 × 149 × 353
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 149 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 54,162,000
Proper Divisor Sum 33,964,752
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #20197237 ← → #20197249

Radix Representation

Decimal 20197248
Binary 1001101000010111110000000 (25 bits)
Octal 0o115027600
Hexadecimal 0x1342F80

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 298 353 384 447 596 706 894 1,059 1,192 1,412 1,788 2,118 2,384 2,824 3,576 4,236 4,768 5,648 7,152 8,472 9,536 11,296 14,304 16,944 19,072 22,592 28,608 33,888 45,184 52,597 57,216 67,776 105,194 135,552 157,791 210,388 315,582 420,776 631,164 841,552 1,262,328 1,683,104 2,524,656 3,366,208

Collatz Trajectory (208 steps to reach 1)

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

20,197,248 10,098,624 5,049,312 2,524,656 1,262,328 631,164 315,582 157,791 473,374 236,687 710,062 355,031 1,065,094 532,547 1,597,642 798,821 2,396,464 1,198,232 599,116 299,558 149,779 449,338 224,669 674,008 337,004 168,502 84,251 252,754 126,377 379,132 189,566 94,783 284,350 142,175 426,526 213,263 639,790 319,895 959,686 479,843 1,439,530 719,765 2,159,296 1,079,648 539,824 269,912 134,956 67,478 33,739 101,218 50,609 151,828 75,914 37,957 113,872 56,936 28,468 14,234 7,117 21,352

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