638,072

2³ × 47 × 1697

Starting at 638,072, the Collatz iteration reaches 1 after 216 steps. The first transition is 319036; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 47 × 1697

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,222,560

Proper Divisor Sum 584,488

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #638063 ← → #638081

Radix Representation

Decimal	638072
Binary	10011011110001111000 (20 bits)
Octal	0o2336170
Hexadecimal	0x9BC78

Divisor Catalog (16)

1 2 4 8 47 94 188 376 1,697 3,394 6,788 13,576 79,759 159,518 319,036 638,072

Collatz Trajectory (216 steps to reach 1)

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

638,072 319,036 159,518 79,759 239,278 119,639 358,918 179,459 538,378 269,189 807,568 403,784 201,892 100,946 50,473 151,420 75,710 37,855 113,566 56,783 170,350 85,175 255,526 127,763 383,290 191,645 574,936 287,468 143,734 71,867 215,602 107,801 323,404 161,702 80,851 242,554 121,277 363,832 181,916 90,958 45,479 136,438 68,219 204,658 102,329 306,988 153,494 76,747 230,242 115,121 345,364 172,682 86,341 259,024 129,512 64,756 32,378 16,189 48,568 24,284

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