λ
Sequence Observatory

8,077,487

11 × 181 × 4057
Deficient Odd Composite

Starting at 8,077,487, the Collatz iteration reaches 1 after 336 steps. The first transition is 24232462; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 181 × 4057
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,862,672
Proper Divisor Sum 785,185
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8077471 ← → #8077529

Radix Representation

Decimal 8077487
Binary 11110110100000010101111 (23 bits)
Octal 0o36640257
Hexadecimal 0x7B40AF

Divisor Catalog (8)

1 11 181 1,991 4,057 44,627 734,317 8,077,487

Collatz Trajectory (336 steps to reach 1)

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

8,077,487 24,232,462 12,116,231 36,348,694 18,174,347 54,523,042 27,261,521 81,784,564 40,892,282 20,446,141 61,338,424 30,669,212 15,334,606 7,667,303 23,001,910 11,500,955 34,502,866 17,251,433 51,754,300 25,877,150 12,938,575 38,815,726 19,407,863 58,223,590 29,111,795 87,335,386 43,667,693 131,003,080 65,501,540 32,750,770 16,375,385 49,126,156 24,563,078 12,281,539 36,844,618 18,422,309 55,266,928 27,633,464 13,816,732 6,908,366 3,454,183 10,362,550 5,181,275 15,543,826 7,771,913 23,315,740 11,657,870 5,828,935 17,486,806 8,743,403 26,230,210 13,115,105 39,345,316 19,672,658 9,836,329 29,508,988 14,754,494 7,377,247 22,131,742 11,065,871

More profiles

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