λ
Sequence Observatory

8,871,767

23 × 29 × 47 × 283
Deficient Odd Composite

Starting at 8,871,767, the Collatz iteration reaches 1 after 142 steps. The first transition is 26615302; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 23 × 29 × 47 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,815,040
Proper Divisor Sum 943,273
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8871761 ← → #8871769

Radix Representation

Decimal 8871767
Binary 100001110101111101010111 (24 bits)
Octal 0o41657527
Hexadecimal 0x875F57

Divisor Catalog (16)

1 23 29 47 283 667 1,081 1,363 6,509 8,207 13,301 31,349 188,761 305,923 385,729 8,871,767

Collatz Trajectory (142 steps to reach 1)

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

8,871,767 26,615,302 13,307,651 39,922,954 19,961,477 59,884,432 29,942,216 14,971,108 7,485,554 3,742,777 11,228,332 5,614,166 2,807,083 8,421,250 4,210,625 12,631,876 6,315,938 3,157,969 9,473,908 4,736,954 2,368,477 7,105,432 3,552,716 1,776,358 888,179 2,664,538 1,332,269 3,996,808 1,998,404 999,202 499,601 1,498,804 749,402 374,701 1,124,104 562,052 281,026 140,513 421,540 210,770 105,385 316,156 158,078 79,039 237,118 118,559 355,678 177,839 533,518 266,759 800,278 400,139 1,200,418 600,209 1,800,628 900,314 450,157 1,350,472 675,236 337,618

More profiles

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