λ
Sequence Observatory

8,922,016

25 × 278813
Deficient Even Composite

Starting at 8,922,016, the Collatz iteration reaches 1 after 62 steps. The first transition is 4461008; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 278813
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,565,282
Proper Divisor Sum 8,643,266
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8922013 ← → #8922019

Radix Representation

Decimal 8922016
Binary 100010000010001110100000 (24 bits)
Octal 0o42021640
Hexadecimal 0x8823A0

Divisor Catalog (12)

1 2 4 8 16 32 278,813 557,626 1,115,252 2,230,504 4,461,008 8,922,016

Collatz Trajectory (62 steps to reach 1)

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

8,922,016 4,461,008 2,230,504 1,115,252 557,626 278,813 836,440 418,220 209,110 104,555 313,666 156,833 470,500 235,250 117,625 352,876 176,438 88,219 264,658 132,329 396,988 198,494 99,247 297,742 148,871 446,614 223,307 669,922 334,961 1,004,884 502,442 251,221 753,664 376,832 188,416 94,208 47,104 23,552 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8

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