λ
Sequence Observatory

1,216,724

22 × 17 × 29 × 617
Deficient Even Composite

Starting at 1,216,724, the Collatz iteration reaches 1 after 129 steps. The first transition is 608362; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 29 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,336,040
Proper Divisor Sum 1,119,316
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1216717 ← → #1216729

Radix Representation

Decimal 1216724
Binary 100101001000011010100 (21 bits)
Octal 0o4510324
Hexadecimal 0x1290D4

Divisor Catalog (24)

1 2 4 17 29 34 58 68 116 493 617 986 1,234 1,972 2,468 10,489 17,893 20,978 35,786 41,956 71,572 304,181 608,362 1,216,724

Collatz Trajectory (129 steps to reach 1)

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

1,216,724 608,362 304,181 912,544 456,272 228,136 114,068 57,034 28,517 85,552 42,776 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

More profiles

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