λ
Sequence Observatory

8,477,227

11 × 770657
Deficient Odd Composite

Starting at 8,477,227, the Collatz iteration reaches 1 after 106 steps. The first transition is 25431682; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 770657
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,247,896
Proper Divisor Sum 770,669
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8477219 ← → #8477243

Radix Representation

Decimal 8477227
Binary 100000010101101000101011 (24 bits)
Octal 0o40255053
Hexadecimal 0x815A2B

Divisor Catalog (4)

1 11 770,657 8,477,227

Collatz Trajectory (106 steps to reach 1)

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

8,477,227 25,431,682 12,715,841 38,147,524 19,073,762 9,536,881 28,610,644 14,305,322 7,152,661 21,457,984 10,728,992 5,364,496 2,682,248 1,341,124 670,562 335,281 1,005,844 502,922 251,461 754,384 377,192 188,596 94,298 47,149 141,448 70,724 35,362 17,681 53,044 26,522 13,261 39,784 19,892 9,946 4,973 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498

More profiles

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