λ
Sequence Observatory

9,692,580

22 × 3 × 5 × 161543
Abundant Even Composite

Starting at 9,692,580, the Collatz iteration reaches 1 after 207 steps. The first transition is 4846290; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 161543
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 27,139,392
Proper Divisor Sum 17,446,812
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9692569 ← → #9692593

Radix Representation

Decimal 9692580
Binary 100100111110010110100100 (24 bits)
Octal 0o44762644
Hexadecimal 0x93E5A4

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 161,543 323,086 484,629 646,172 807,715 969,258 1,615,430 1,938,516 2,423,145 3,230,860 4,846,290 9,692,580

Collatz Trajectory (207 steps to reach 1)

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

9,692,580 4,846,290 2,423,145 7,269,436 3,634,718 1,817,359 5,452,078 2,726,039 8,178,118 4,089,059 12,267,178 6,133,589 18,400,768 9,200,384 4,600,192 2,300,096 1,150,048 575,024 287,512 143,756 71,878 35,939 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510

More profiles

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