λ
Sequence Observatory

7,304,532

22 × 3 × 127 × 4793
Abundant Even Composite

Starting at 7,304,532, the Collatz iteration reaches 1 after 59 steps. The first transition is 3652266; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 127 × 4793
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,181,696
Proper Divisor Sum 9,877,164
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7304527 ← → #7304537

Radix Representation

Decimal 7304532
Binary 11011110111010101010100 (23 bits)
Octal 0o33672524
Hexadecimal 0x6F7554

Divisor Catalog (24)

1 2 3 4 6 12 127 254 381 508 762 1,524 4,793 9,586 14,379 19,172 28,758 57,516 608,711 1,217,422 1,826,133 2,434,844 3,652,266 7,304,532

Collatz Trajectory (59 steps to reach 1)

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

7,304,532 3,652,266 1,826,133 5,478,400 2,739,200 1,369,600 684,800 342,400 171,200 85,600 42,800 21,400 10,700 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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