5,187,074

2 × 17 × 41 × 61²

Starting at 5,187,074, the Collatz iteration reaches 1 after 188 steps. The first transition is 2593537; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 41 × 61^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,579,844

Proper Divisor Sum 3,392,770

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5187011 ← → #5187089

Radix Representation

Decimal	5187074
Binary	10011110010011000000010 (23 bits)
Octal	0o23623002
Hexadecimal	0x4F2602

Divisor Catalog (24)

1 2 17 34 41 61 82 122 697 1,037 1,394 2,074 2,501 3,721 5,002 7,442 42,517 63,257 85,034 126,514 152,561 305,122 2,593,537 5,187,074

Collatz Trajectory (188 steps to reach 1)

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

5,187,074 2,593,537 7,780,612 3,890,306 1,945,153 5,835,460 2,917,730 1,458,865 4,376,596 2,188,298 1,094,149 3,282,448 1,641,224 820,612 410,306 205,153 615,460 307,730 153,865 461,596 230,798 115,399 346,198 173,099 519,298 259,649 778,948 389,474 194,737 584,212 292,106 146,053 438,160 219,080 109,540 54,770 27,385 82,156 41,078 20,539 61,618 30,809 92,428 46,214 23,107 69,322 34,661 103,984 51,992 25,996 12,998 6,499 19,498 9,749 29,248 14,624 7,312 3,656 1,828 914

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