λ
Sequence Observatory

8,215,491

3 × 197 × 13901
Deficient Odd Composite

Starting at 8,215,491, the Collatz iteration reaches 1 after 199 steps. The first transition is 24646474; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 197 × 13901
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,010,384
Proper Divisor Sum 2,794,893
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8215469 ← → #8215507

Radix Representation

Decimal 8215491
Binary 11111010101101111000011 (23 bits)
Octal 0o37255703
Hexadecimal 0x7D5BC3

Divisor Catalog (8)

1 3 197 591 13,901 41,703 2,738,497 8,215,491

Collatz Trajectory (199 steps to reach 1)

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

8,215,491 24,646,474 12,323,237 36,969,712 18,484,856 9,242,428 4,621,214 2,310,607 6,931,822 3,465,911 10,397,734 5,198,867 15,596,602 7,798,301 23,394,904 11,697,452 5,848,726 2,924,363 8,773,090 4,386,545 13,159,636 6,579,818 3,289,909 9,869,728 4,934,864 2,467,432 1,233,716 616,858 308,429 925,288 462,644 231,322 115,661 346,984 173,492 86,746 43,373 130,120 65,060 32,530 16,265 48,796 24,398 12,199 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114

More profiles

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