λ
Sequence Observatory

5,040,952

23 × 7 × 90017
Abundant Even Composite

Starting at 5,040,952, the Collatz iteration reaches 1 after 144 steps. The first transition is 2520476; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 90017
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,802,160
Proper Divisor Sum 5,761,208
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5040949 ← → #5040953

Radix Representation

Decimal 5040952
Binary 10011001110101100111000 (23 bits)
Octal 0o23165470
Hexadecimal 0x4CEB38

Divisor Catalog (16)

1 2 4 7 8 14 28 56 90,017 180,034 360,068 630,119 720,136 1,260,238 2,520,476 5,040,952

Collatz Trajectory (144 steps to reach 1)

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

5,040,952 2,520,476 1,260,238 630,119 1,890,358 945,179 2,835,538 1,417,769 4,253,308 2,126,654 1,063,327 3,189,982 1,594,991 4,784,974 2,392,487 7,177,462 3,588,731 10,766,194 5,383,097 16,149,292 8,074,646 4,037,323 12,111,970 6,055,985 18,167,956 9,083,978 4,541,989 13,625,968 6,812,984 3,406,492 1,703,246 851,623 2,554,870 1,277,435 3,832,306 1,916,153 5,748,460 2,874,230 1,437,115 4,311,346 2,155,673 6,467,020 3,233,510 1,616,755 4,850,266 2,425,133 7,275,400 3,637,700 1,818,850 909,425 2,728,276 1,364,138 682,069 2,046,208 1,023,104 511,552 255,776 127,888 63,944 31,972

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