7,137,850

2 × 5² × 142757

Starting at 7,137,850, the Collatz iteration reaches 1 after 72 steps. The first transition is 3568925; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 142757

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,276,494

Proper Divisor Sum 6,138,644

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7137847 ← → #7137853

Radix Representation

Decimal	7137850
Binary	11011001110101000111010 (23 bits)
Octal	0o33165072
Hexadecimal	0x6CEA3A

Divisor Catalog (12)

1 2 5 10 25 50 142,757 285,514 713,785 1,427,570 3,568,925 7,137,850

Collatz Trajectory (72 steps to reach 1)

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

7,137,850 3,568,925 10,706,776 5,353,388 2,676,694 1,338,347 4,015,042 2,007,521 6,022,564 3,011,282 1,505,641 4,516,924 2,258,462 1,129,231 3,387,694 1,693,847 5,081,542 2,540,771 7,622,314 3,811,157 11,433,472 5,716,736 2,858,368 1,429,184 714,592 357,296 178,648 89,324 44,662 22,331 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35

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