λ
Sequence Observatory

5,210,350

2 × 52 × 104207
Deficient Even Composite

Starting at 5,210,350, the Collatz iteration reaches 1 after 188 steps. The first transition is 2605175; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 104207
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,691,344
Proper Divisor Sum 4,480,994
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #5210339 ← → #5210363

Radix Representation

Decimal 5210350
Binary 10011111000000011101110 (23 bits)
Octal 0o23700356
Hexadecimal 0x4F80EE

Divisor Catalog (12)

1 2 5 10 25 50 104,207 208,414 521,035 1,042,070 2,605,175 5,210,350

Collatz Trajectory (188 steps to reach 1)

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

5,210,350 2,605,175 7,815,526 3,907,763 11,723,290 5,861,645 17,584,936 8,792,468 4,396,234 2,198,117 6,594,352 3,297,176 1,648,588 824,294 412,147 1,236,442 618,221 1,854,664 927,332 463,666 231,833 695,500 347,750 173,875 521,626 260,813 782,440 391,220 195,610 97,805 293,416 146,708 73,354 36,677 110,032 55,016 27,508 13,754 6,877 20,632 10,316 5,158 2,579 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919

More profiles

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