λ
Sequence Observatory

7,519,738

2 × 3759869
Deficient Even Composite

Starting at 7,519,738, the Collatz iteration reaches 1 after 85 steps. The first transition is 3759869; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3759869
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,279,610
Proper Divisor Sum 3,759,872
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7519703 ← → #7519741

Radix Representation

Decimal 7519738
Binary 11100101011110111111010 (23 bits)
Octal 0o34536772
Hexadecimal 0x72BDFA

Divisor Catalog (4)

1 2 3,759,869 7,519,738

Collatz Trajectory (85 steps to reach 1)

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

7,519,738 3,759,869 11,279,608 5,639,804 2,819,902 1,409,951 4,229,854 2,114,927 6,344,782 3,172,391 9,517,174 4,758,587 14,275,762 7,137,881 21,413,644 10,706,822 5,353,411 16,060,234 8,030,117 24,090,352 12,045,176 6,022,588 3,011,294 1,505,647 4,516,942 2,258,471 6,775,414 3,387,707 10,163,122 5,081,561 15,244,684 7,622,342 3,811,171 11,433,514 5,716,757 17,150,272 8,575,136 4,287,568 2,143,784 1,071,892 535,946 267,973 803,920 401,960 200,980 100,490 50,245 150,736 75,368 37,684 18,842 9,421 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325

More profiles

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