λ
Sequence Observatory

8,371,671

3 × 7 × 11 × 36241
Deficient Odd Composite

Starting at 8,371,671, the Collatz iteration reaches 1 after 106 steps. The first transition is 25115014; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 36241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,916,928
Proper Divisor Sum 5,545,257
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8371639 ← → #8371679

Radix Representation

Decimal 8371671
Binary 11111111011110111010111 (23 bits)
Octal 0o37736727
Hexadecimal 0x7FBDD7

Divisor Catalog (16)

1 3 7 11 21 33 77 231 36,241 108,723 253,687 398,651 761,061 1,195,953 2,790,557 8,371,671

Collatz Trajectory (106 steps to reach 1)

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

8,371,671 25,115,014 12,557,507 37,672,522 18,836,261 56,508,784 28,254,392 14,127,196 7,063,598 3,531,799 10,595,398 5,297,699 15,893,098 7,946,549 23,839,648 11,919,824 5,959,912 2,979,956 1,489,978 744,989 2,234,968 1,117,484 558,742 279,371 838,114 419,057 1,257,172 628,586 314,293 942,880 471,440 235,720 117,860 58,930 29,465 88,396 44,198 22,099 66,298 33,149 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851

More profiles

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