λ
Sequence Observatory

4,551,340

22 × 5 × 227567
Abundant Even Composite

Starting at 4,551,340, the Collatz iteration reaches 1 after 79 steps. The first transition is 2275670; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 227567
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,557,856
Proper Divisor Sum 5,006,516
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4551311 ← → #4551341

Radix Representation

Decimal 4551340
Binary 10001010111001010101100 (23 bits)
Octal 0o21271254
Hexadecimal 0x4572AC

Divisor Catalog (12)

1 2 4 5 10 20 227,567 455,134 910,268 1,137,835 2,275,670 4,551,340

Collatz Trajectory (79 steps to reach 1)

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

4,551,340 2,275,670 1,137,835 3,413,506 1,706,753 5,120,260 2,560,130 1,280,065 3,840,196 1,920,098 960,049 2,880,148 1,440,074 720,037 2,160,112 1,080,056 540,028 270,014 135,007 405,022 202,511 607,534 303,767 911,302 455,651 1,366,954 683,477 2,050,432 1,025,216 512,608 256,304 128,152 64,076 32,038 16,019 48,058 24,029 72,088 36,044 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803

More profiles

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