λ
Sequence Observatory

2,521,915

5 × 11 × 45853
Deficient Odd Composite

Starting at 2,521,915, the Collatz iteration reaches 1 after 161 steps. The first transition is 7565746; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 45853
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,301,488
Proper Divisor Sum 779,573
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2521901 ← → #2521919

Radix Representation

Decimal 2521915
Binary 1001100111101100111011 (22 bits)
Octal 0o11475473
Hexadecimal 0x267B3B

Divisor Catalog (8)

1 5 11 55 45,853 229,265 504,383 2,521,915

Collatz Trajectory (161 steps to reach 1)

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

2,521,915 7,565,746 3,782,873 11,348,620 5,674,310 2,837,155 8,511,466 4,255,733 12,767,200 6,383,600 3,191,800 1,595,900 797,950 398,975 1,196,926 598,463 1,795,390 897,695 2,693,086 1,346,543 4,039,630 2,019,815 6,059,446 3,029,723 9,089,170 4,544,585 13,633,756 6,816,878 3,408,439 10,225,318 5,112,659 15,337,978 7,668,989 23,006,968 11,503,484 5,751,742 2,875,871 8,627,614 4,313,807 12,941,422 6,470,711 19,412,134 9,706,067 29,118,202 14,559,101 43,677,304 21,838,652 10,919,326 5,459,663 16,378,990 8,189,495 24,568,486 12,284,243 36,852,730 18,426,365 55,279,096 27,639,548 13,819,774 6,909,887 20,729,662

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