λ
Sequence Observatory

7,220,816

24 × 451301
Deficient Even Composite

Starting at 7,220,816, the Collatz iteration reaches 1 after 160 steps. The first transition is 3610408; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 451301
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 13,990,362
Proper Divisor Sum 6,769,546
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7220803 ← → #7220821

Radix Representation

Decimal 7220816
Binary 11011100010111001010000 (23 bits)
Octal 0o33427120
Hexadecimal 0x6E2E50

Divisor Catalog (10)

1 2 4 8 16 451,301 902,602 1,805,204 3,610,408 7,220,816

Collatz Trajectory (160 steps to reach 1)

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

7,220,816 3,610,408 1,805,204 902,602 451,301 1,353,904 676,952 338,476 169,238 84,619 253,858 126,929 380,788 190,394 95,197 285,592 142,796 71,398 35,699 107,098 53,549 160,648 80,324 40,162 20,081 60,244 30,122 15,061 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215

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