λ
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Atlas › Integer Profiles › Node 7,007,050

7,007,050

2 × 52 × 353 × 397
Deficient Even Composite

Starting at 7,007,050, the Collatz iteration reaches 1 after 191 steps. The first transition is 3503525; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 353 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,102,956
Proper Divisor Sum 6,095,906
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #7007041 ← → #7007069

Radix Representation

Decimal 7007050
Binary 11010101110101101001010 (23 bits)
Octal 0o32565512
Hexadecimal 0x6AEB4A

Divisor Catalog (24)

1 2 5 10 25 50 353 397 706 794 1,765 1,985 3,530 3,970 8,825 9,925 17,650 19,850 140,141 280,282 700,705 1,401,410 3,503,525 7,007,050

Collatz Trajectory (191 steps to reach 1)

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

7,007,050 3,503,525 10,510,576 5,255,288 2,627,644 1,313,822 656,911 1,970,734 985,367 2,956,102 1,478,051 4,434,154 2,217,077 6,651,232 3,325,616 1,662,808 831,404 415,702 207,851 623,554 311,777 935,332 467,666 233,833 701,500 350,750 175,375 526,126 263,063 789,190 394,595 1,183,786 591,893 1,775,680 887,840 443,920 221,960 110,980 55,490 27,745 83,236 41,618 20,809 62,428 31,214 15,607 46,822 23,411 70,234 35,117 105,352 52,676 26,338 13,169 39,508 19,754 9,877 29,632 14,816 7,408

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