λ
Sequence Observatory

7,492,867

7492867
Deficient Odd Prime

Starting at 7,492,867, the Collatz iteration reaches 1 after 142 steps. The first transition is 22478602; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7492867
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,492,868
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7492861 ← → #7492909

Radix Representation

Decimal 7492867
Binary 11100100101010100000011 (23 bits)
Octal 0o34452403
Hexadecimal 0x725503

Divisor Catalog (2)

1 7,492,867

Collatz Trajectory (142 steps to reach 1)

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

7,492,867 22,478,602 11,239,301 33,717,904 16,858,952 8,429,476 4,214,738 2,107,369 6,322,108 3,161,054 1,580,527 4,741,582 2,370,791 7,112,374 3,556,187 10,668,562 5,334,281 16,002,844 8,001,422 4,000,711 12,002,134 6,001,067 18,003,202 9,001,601 27,004,804 13,502,402 6,751,201 20,253,604 10,126,802 5,063,401 15,190,204 7,595,102 3,797,551 11,392,654 5,696,327 17,088,982 8,544,491 25,633,474 12,816,737 38,450,212 19,225,106 9,612,553 28,837,660 14,418,830 7,209,415 21,628,246 10,814,123 32,442,370 16,221,185 48,663,556 24,331,778 12,165,889 36,497,668 18,248,834 9,124,417 27,373,252 13,686,626 6,843,313 20,529,940 10,264,970

More profiles

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