λ
Sequence Observatory

4,610,224

24 × 467 × 617
Deficient Even Composite

Starting at 4,610,224, the Collatz iteration reaches 1 after 193 steps. The first transition is 2305112; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 467 × 617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,965,944
Proper Divisor Sum 4,355,720
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4610173 ← → #4610239

Radix Representation

Decimal 4610224
Binary 10001100101100010110000 (23 bits)
Octal 0o21454260
Hexadecimal 0x4658B0

Divisor Catalog (20)

1 2 4 8 16 467 617 934 1,234 1,868 2,468 3,736 4,936 7,472 9,872 288,139 576,278 1,152,556 2,305,112 4,610,224

Collatz Trajectory (193 steps to reach 1)

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

4,610,224 2,305,112 1,152,556 576,278 288,139 864,418 432,209 1,296,628 648,314 324,157 972,472 486,236 243,118 121,559 364,678 182,339 547,018 273,509 820,528 410,264 205,132 102,566 51,283 153,850 76,925 230,776 115,388 57,694 28,847 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874

More profiles

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