λ
Sequence Observatory

7,469,305

5 × 277 × 5393
Deficient Odd Composite

Starting at 7,469,305, the Collatz iteration reaches 1 after 279 steps. The first transition is 22407916; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 277 × 5393
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,997,192
Proper Divisor Sum 1,527,887
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7469303 ← → #7469309

Radix Representation

Decimal 7469305
Binary 11100011111100011111001 (23 bits)
Octal 0o34374371
Hexadecimal 0x71F8F9

Divisor Catalog (8)

1 5 277 1,385 5,393 26,965 1,493,861 7,469,305

Collatz Trajectory (279 steps to reach 1)

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

7,469,305 22,407,916 11,203,958 5,601,979 16,805,938 8,402,969 25,208,908 12,604,454 6,302,227 18,906,682 9,453,341 28,360,024 14,180,012 7,090,006 3,545,003 10,635,010 5,317,505 15,952,516 7,976,258 3,988,129 11,964,388 5,982,194 2,991,097 8,973,292 4,486,646 2,243,323 6,729,970 3,364,985 10,094,956 5,047,478 2,523,739 7,571,218 3,785,609 11,356,828 5,678,414 2,839,207 8,517,622 4,258,811 12,776,434 6,388,217 19,164,652 9,582,326 4,791,163 14,373,490 7,186,745 21,560,236 10,780,118 5,390,059 16,170,178 8,085,089 24,255,268 12,127,634 6,063,817 18,191,452 9,095,726 4,547,863 13,643,590 6,821,795 20,465,386 10,232,693

More profiles

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