λ
Sequence Observatory

2,225,024

27 × 17383
Deficient Even Composite

Starting at 2,225,024, the Collatz iteration reaches 1 after 60 steps. The first transition is 1112512; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 17383
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,432,920
Proper Divisor Sum 2,207,896
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2225021 ← → #2225039

Radix Representation

Decimal 2225024
Binary 1000011111001110000000 (22 bits)
Octal 0o10371600
Hexadecimal 0x21F380

Divisor Catalog (16)

1 2 4 8 16 32 64 128 17,383 34,766 69,532 139,064 278,128 556,256 1,112,512 2,225,024

Collatz Trajectory (60 steps to reach 1)

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

2,225,024 1,112,512 556,256 278,128 139,064 69,532 34,766 17,383 52,150 26,075 78,226 39,113 117,340 58,670 29,335 88,006 44,003 132,010 66,005 198,016 99,008 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2

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