5,152,469

7 × 47 × 15661

Starting at 5,152,469, the Collatz iteration reaches 1 after 126 steps. The first transition is 15457408; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 47 × 15661

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,014,208

Proper Divisor Sum 861,739

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5152463 ← → #5152471

Radix Representation

Decimal	5152469
Binary	10011101001111011010101 (23 bits)
Octal	0o23517325
Hexadecimal	0x4E9ED5

Divisor Catalog (8)

1 7 47 329 15,661 109,627 736,067 5,152,469

Collatz Trajectory (126 steps to reach 1)

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

5,152,469 15,457,408 7,728,704 3,864,352 1,932,176 966,088 483,044 241,522 120,761 362,284 181,142 90,571 271,714 135,857 407,572 203,786 101,893 305,680 152,840 76,420 38,210 19,105 57,316 28,658 14,329 42,988 21,494 10,747 32,242 16,121 48,364 24,182 12,091 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453

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