λ
Ratio Atlas

38,200,361

38200361
Deficient Odd Prime

38,200,361 factors as 38200361. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 271 steps.

Prime Factor Structure

Factorization String 38200361
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 38,200,362
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #38200319 ← → #38200367

Radix Representation

Decimal 38200361
Binary 10010001101110010000101001 (26 bits)
Octal 0o221562051
Hexadecimal 0x246E429

Divisor Catalog (2)

Collatz Trajectory (271 steps to reach 1)

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

38,200,361 114,601,084 57,300,542 28,650,271 85,950,814 42,975,407 128,926,222 64,463,111 193,389,334 96,694,667 290,084,002 145,042,001 435,126,004 217,563,002 108,781,501 326,344,504 163,172,252 81,586,126 40,793,063 122,379,190 61,189,595 183,568,786 91,784,393 275,353,180 137,676,590 68,838,295 206,514,886 103,257,443 309,772,330 154,886,165 464,658,496 232,329,248 116,164,624 58,082,312 29,041,156 14,520,578 7,260,289 21,780,868 10,890,434 5,445,217 16,335,652 8,167,826 4,083,913 12,251,740 6,125,870 3,062,935 9,188,806 4,594,403 13,783,210 6,891,605 20,674,816 10,337,408 5,168,704 2,584,352 1,292,176 646,088 323,044 161,522 80,761 242,284

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