λ
Sequence Observatory

5,247,978

2 × 3 × 43 × 20341
Abundant Even Composite

Starting at 5,247,978, the Collatz iteration reaches 1 after 113 steps. The first transition is 2623989; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 43 × 20341
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,740,576
Proper Divisor Sum 5,492,598
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5247967 ← → #5247997

Radix Representation

Decimal 5247978
Binary 10100000001001111101010 (23 bits)
Octal 0o24011752
Hexadecimal 0x5013EA

Divisor Catalog (16)

1 2 3 6 43 86 129 258 20,341 40,682 61,023 122,046 874,663 1,749,326 2,623,989 5,247,978

Collatz Trajectory (113 steps to reach 1)

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

5,247,978 2,623,989 7,871,968 3,935,984 1,967,992 983,996 491,998 245,999 737,998 368,999 1,106,998 553,499 1,660,498 830,249 2,490,748 1,245,374 622,687 1,868,062 934,031 2,802,094 1,401,047 4,203,142 2,101,571 6,304,714 3,152,357 9,457,072 4,728,536 2,364,268 1,182,134 591,067 1,773,202 886,601 2,659,804 1,329,902 664,951 1,994,854 997,427 2,992,282 1,496,141 4,488,424 2,244,212 1,122,106 561,053 1,683,160 841,580 420,790 210,395 631,186 315,593 946,780 473,390 236,695 710,086 355,043 1,065,130 532,565 1,597,696 798,848 399,424 199,712

More profiles

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