λ
Sequence Observatory

8,187,757

8187757
Deficient Odd Prime

Starting at 8,187,757, the Collatz iteration reaches 1 after 230 steps. The first transition is 24563272; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8187757
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,187,758
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8187743 ← → #8187769

Radix Representation

Decimal 8187757
Binary 11111001110111101101101 (23 bits)
Octal 0o37167555
Hexadecimal 0x7CEF6D

Divisor Catalog (2)

1 8,187,757

Collatz Trajectory (230 steps to reach 1)

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

8,187,757 24,563,272 12,281,636 6,140,818 3,070,409 9,211,228 4,605,614 2,302,807 6,908,422 3,454,211 10,362,634 5,181,317 15,543,952 7,771,976 3,885,988 1,942,994 971,497 2,914,492 1,457,246 728,623 2,185,870 1,092,935 3,278,806 1,639,403 4,918,210 2,459,105 7,377,316 3,688,658 1,844,329 5,532,988 2,766,494 1,383,247 4,149,742 2,074,871 6,224,614 3,112,307 9,336,922 4,668,461 14,005,384 7,002,692 3,501,346 1,750,673 5,252,020 2,626,010 1,313,005 3,939,016 1,969,508 984,754 492,377 1,477,132 738,566 369,283 1,107,850 553,925 1,661,776 830,888 415,444 207,722 103,861 311,584

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