λ
Sequence Observatory

8,520,419

23 × 61 × 6073
Deficient Odd Composite

Starting at 8,520,419, the Collatz iteration reaches 1 after 62 steps. The first transition is 25561258; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 61 × 6073
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,038,112
Proper Divisor Sum 517,693
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8520409 ← → #8520427

Radix Representation

Decimal 8520419
Binary 100000100000001011100011 (24 bits)
Octal 0o40401343
Hexadecimal 0x8202E3

Divisor Catalog (8)

1 23 61 1,403 6,073 139,679 370,453 8,520,419

Collatz Trajectory (62 steps to reach 1)

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

8,520,419 25,561,258 12,780,629 38,341,888 19,170,944 9,585,472 4,792,736 2,396,368 1,198,184 599,092 299,546 149,773 449,320 224,660 112,330 56,165 168,496 84,248 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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