λ
Sequence Observatory

8,556,977

11 × 132 × 4603
Deficient Odd Composite

Starting at 8,556,977, the Collatz iteration reaches 1 after 98 steps. The first transition is 25670932; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11 × 13^2 × 4603
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,110,384
Proper Divisor Sum 1,553,407
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #8556959 ← → #8557007

Radix Representation

Decimal 8556977
Binary 100000101001000110110001 (24 bits)
Octal 0o40510661
Hexadecimal 0x8291B1

Divisor Catalog (12)

1 11 13 143 169 1,859 4,603 50,633 59,839 658,229 777,907 8,556,977

Collatz Trajectory (98 steps to reach 1)

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

8,556,977 25,670,932 12,835,466 6,417,733 19,253,200 9,626,600 4,813,300 2,406,650 1,203,325 3,609,976 1,804,988 902,494 451,247 1,353,742 676,871 2,030,614 1,015,307 3,045,922 1,522,961 4,568,884 2,284,442 1,142,221 3,426,664 1,713,332 856,666 428,333 1,285,000 642,500 321,250 160,625 481,876 240,938 120,469 361,408 180,704 90,352 45,176 22,588 11,294 5,647 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052

More profiles

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