λ
Sequence Observatory

4,481,216

26 × 70019
Deficient Even Composite

Starting at 4,481,216, the Collatz iteration reaches 1 after 87 steps. The first transition is 2240608; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 70019
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 8,892,540
Proper Divisor Sum 4,411,324
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4481201 ← → #4481233

Radix Representation

Decimal 4481216
Binary 10001000110000011000000 (23 bits)
Octal 0o21060300
Hexadecimal 0x4460C0

Divisor Catalog (14)

1 2 4 8 16 32 64 70,019 140,038 280,076 560,152 1,120,304 2,240,608 4,481,216

Collatz Trajectory (87 steps to reach 1)

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

4,481,216 2,240,608 1,120,304 560,152 280,076 140,038 70,019 210,058 105,029 315,088 157,544 78,772 39,386 19,693 59,080 29,540 14,770 7,385 22,156 11,078 5,539 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134

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