5,648,708

2² × 13 × 23 × 4723

Starting at 5,648,708, the Collatz iteration reaches 1 after 126 steps. The first transition is 2824354; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 4723

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,110,848

Proper Divisor Sum 5,462,140

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5648683 ← → #5648717

Radix Representation

Decimal	5648708
Binary	10101100011000101000100 (23 bits)
Octal	0o25430504
Hexadecimal	0x563144

Divisor Catalog (24)

1 2 4 13 23 26 46 52 92 299 598 1,196 4,723 9,446 18,892 61,399 108,629 122,798 217,258 245,596 434,516 1,412,177 2,824,354 5,648,708

Collatz Trajectory (126 steps to reach 1)

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

5,648,708 2,824,354 1,412,177 4,236,532 2,118,266 1,059,133 3,177,400 1,588,700 794,350 397,175 1,191,526 595,763 1,787,290 893,645 2,680,936 1,340,468 670,234 335,117 1,005,352 502,676 251,338 125,669 377,008 188,504 94,252 47,126 23,563 70,690 35,345 106,036 53,018 26,509 79,528 39,764 19,882 9,941 29,824 14,912 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167

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