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Atlas › Integer Profiles › Node 38,422,124

38,422,124

22 × 13 × 47 × 79 × 199
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 47 × 79 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 75,264,000
Proper Divisor Sum 36,841,876
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #38422103 ← → #38422141

Radix Representation

Decimal 38422124
Binary 10010010100100011001101100 (26 bits)
Octal 0o222443154
Hexadecimal 0x24A466C

Divisor Catalog (48)

1 2 4 13 26 47 52 79 94 158 188 199 316 398 611 796 1,027 1,222 2,054 2,444 2,587 3,713 4,108 5,174 7,426 9,353 10,348 14,852 15,721 18,706 31,442 37,412 48,269 62,884 96,538 121,589 193,076 204,373 243,178 408,746 486,356 738,887 817,492 1,477,774 2,955,548 9,605,531 19,211,062 38,422,124

Collatz Trajectory (240 steps to reach 1)

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

38,422,124 19,211,062 9,605,531 28,816,594 14,408,297 43,224,892 21,612,446 10,806,223 32,418,670 16,209,335 48,628,006 24,314,003 72,942,010 36,471,005 109,413,016 54,706,508 27,353,254 13,676,627 41,029,882 20,514,941 61,544,824 30,772,412 15,386,206 7,693,103 23,079,310 11,539,655 34,618,966 17,309,483 51,928,450 25,964,225 77,892,676 38,946,338 19,473,169 58,419,508 29,209,754 14,604,877 43,814,632 21,907,316 10,953,658 5,476,829 16,430,488 8,215,244 4,107,622 2,053,811 6,161,434 3,080,717 9,242,152 4,621,076 2,310,538 1,155,269 3,465,808 1,732,904 866,452 433,226 216,613 649,840 324,920 162,460 81,230 40,615

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