λ
Sequence Observatory

5,175,212

22 × 7 × 184829
Abundant Even Composite

Starting at 5,175,212, the Collatz iteration reaches 1 after 144 steps. The first transition is 2587606; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 184829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,350,480
Proper Divisor Sum 5,175,268
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5175199 ← → #5175229

Radix Representation

Decimal 5175212
Binary 10011101111011110101100 (23 bits)
Octal 0o23573654
Hexadecimal 0x4EF7AC

Divisor Catalog (12)

1 2 4 7 14 28 184,829 369,658 739,316 1,293,803 2,587,606 5,175,212

Collatz Trajectory (144 steps to reach 1)

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

5,175,212 2,587,606 1,293,803 3,881,410 1,940,705 5,822,116 2,911,058 1,455,529 4,366,588 2,183,294 1,091,647 3,274,942 1,637,471 4,912,414 2,456,207 7,368,622 3,684,311 11,052,934 5,526,467 16,579,402 8,289,701 24,869,104 12,434,552 6,217,276 3,108,638 1,554,319 4,662,958 2,331,479 6,994,438 3,497,219 10,491,658 5,245,829 15,737,488 7,868,744 3,934,372 1,967,186 983,593 2,950,780 1,475,390 737,695 2,213,086 1,106,543 3,319,630 1,659,815 4,979,446 2,489,723 7,469,170 3,734,585 11,203,756 5,601,878 2,800,939 8,402,818 4,201,409 12,604,228 6,302,114 3,151,057 9,453,172 4,726,586 2,363,293 7,089,880

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