λ
Sequence Observatory

5,072,078

2 × 112 × 20959
Deficient Even Composite

Starting at 5,072,078, the Collatz iteration reaches 1 after 250 steps. The first transition is 2536039; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 11^2 × 20959
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,363,040
Proper Divisor Sum 3,290,962
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5072063 ← → #5072117

Radix Representation

Decimal 5072078
Binary 10011010110010011001110 (23 bits)
Octal 0o23262316
Hexadecimal 0x4D64CE

Divisor Catalog (12)

1 2 11 22 121 242 20,959 41,918 230,549 461,098 2,536,039 5,072,078

Collatz Trajectory (250 steps to reach 1)

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

5,072,078 2,536,039 7,608,118 3,804,059 11,412,178 5,706,089 17,118,268 8,559,134 4,279,567 12,838,702 6,419,351 19,258,054 9,629,027 28,887,082 14,443,541 43,330,624 21,665,312 10,832,656 5,416,328 2,708,164 1,354,082 677,041 2,031,124 1,015,562 507,781 1,523,344 761,672 380,836 190,418 95,209 285,628 142,814 71,407 214,222 107,111 321,334 160,667 482,002 241,001 723,004 361,502 180,751 542,254 271,127 813,382 406,691 1,220,074 610,037 1,830,112 915,056 457,528 228,764 114,382 57,191 171,574 85,787 257,362 128,681 386,044 193,022

More profiles

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