5,034,171

3 × 23 × 72959

Starting at 5,034,171, the Collatz iteration reaches 1 after 144 steps. The first transition is 15102514; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 72959

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,004,160

Proper Divisor Sum 1,969,989

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5034149 ← → #5034181

Radix Representation

Decimal	5034171
Binary	10011001101000010111011 (23 bits)
Octal	0o23150273
Hexadecimal	0x4CD0BB

Divisor Catalog (8)

1 3 23 69 72,959 218,877 1,678,057 5,034,171

Collatz Trajectory (144 steps to reach 1)

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

5,034,171 15,102,514 7,551,257 22,653,772 11,326,886 5,663,443 16,990,330 8,495,165 25,485,496 12,742,748 6,371,374 3,185,687 9,557,062 4,778,531 14,335,594 7,167,797 21,503,392 10,751,696 5,375,848 2,687,924 1,343,962 671,981 2,015,944 1,007,972 503,986 251,993 755,980 377,990 188,995 566,986 283,493 850,480 425,240 212,620 106,310 53,155 159,466 79,733 239,200 119,600 59,800 29,900 14,950 7,475 22,426 11,213 33,640 16,820 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326

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