216,041

7² × 4409

Starting at 216,041, the Collatz iteration reaches 1 after 93 steps. The first transition is 648124; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 4409

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 251,370

Proper Divisor Sum 35,329

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #216037 ← → #216061

Radix Representation

Decimal	216041
Binary	110100101111101001 (18 bits)
Octal	0o645751
Hexadecimal	0x34BE9

Divisor Catalog (6)

1 7 49 4,409 30,863 216,041

Collatz Trajectory (93 steps to reach 1)

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

216,041 648,124 324,062 162,031 486,094 243,047 729,142 364,571 1,093,714 546,857 1,640,572 820,286 410,143 1,230,430 615,215 1,845,646 922,823 2,768,470 1,384,235 4,152,706 2,076,353 6,229,060 3,114,530 1,557,265 4,671,796 2,335,898 1,167,949 3,503,848 1,751,924 875,962 437,981 1,313,944 656,972 328,486 164,243 492,730 246,365 739,096 369,548 184,774 92,387 277,162 138,581 415,744 207,872 103,936 51,968 25,984 12,992 6,496 3,248 1,624 812 406 203 610 305 916 458 229

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