λ
Sequence Observatory

7,475,851

23 × 43 × 7559
Deficient Odd Composite

Starting at 7,475,851, the Collatz iteration reaches 1 after 142 steps. The first transition is 22427554; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 43 × 7559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,983,360
Proper Divisor Sum 507,509
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7475827 ← → #7475861

Radix Representation

Decimal 7475851
Binary 11100100001001010001011 (23 bits)
Octal 0o34411213
Hexadecimal 0x72128B

Divisor Catalog (8)

1 23 43 989 7,559 173,857 325,037 7,475,851

Collatz Trajectory (142 steps to reach 1)

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

7,475,851 22,427,554 11,213,777 33,641,332 16,820,666 8,410,333 25,231,000 12,615,500 6,307,750 3,153,875 9,461,626 4,730,813 14,192,440 7,096,220 3,548,110 1,774,055 5,322,166 2,661,083 7,983,250 3,991,625 11,974,876 5,987,438 2,993,719 8,981,158 4,490,579 13,471,738 6,735,869 20,207,608 10,103,804 5,051,902 2,525,951 7,577,854 3,788,927 11,366,782 5,683,391 17,050,174 8,525,087 25,575,262 12,787,631 38,362,894 19,181,447 57,544,342 28,772,171 86,316,514 43,158,257 129,474,772 64,737,386 32,368,693 97,106,080 48,553,040 24,276,520 12,138,260 6,069,130 3,034,565 9,103,696 4,551,848 2,275,924 1,137,962 568,981 1,706,944

More profiles

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