5,633,504

2⁵ × 176047

Starting at 5,633,504, the Collatz iteration reaches 1 after 82 steps. The first transition is 2816752; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 176047

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,091,024

Proper Divisor Sum 5,457,520

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5633503 ← → #5633513

Radix Representation

Decimal	5633504
Binary	10101011111010111100000 (23 bits)
Octal	0o25372740
Hexadecimal	0x55F5E0

Divisor Catalog (12)

1 2 4 8 16 32 176,047 352,094 704,188 1,408,376 2,816,752 5,633,504

Collatz Trajectory (82 steps to reach 1)

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

5,633,504 2,816,752 1,408,376 704,188 352,094 176,047 528,142 264,071 792,214 396,107 1,188,322 594,161 1,782,484 891,242 445,621 1,336,864 668,432 334,216 167,108 83,554 41,777 125,332 62,666 31,333 94,000 47,000 23,500 11,750 5,875 17,626 8,813 26,440 13,220 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994

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