5,632,168

2³ × 17 × 41413

Starting at 5,632,168, the Collatz iteration reaches 1 after 201 steps. The first transition is 2816084; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 41413

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,181,780

Proper Divisor Sum 5,549,612

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5632163 ← → #5632181

Radix Representation

Decimal	5632168
Binary	10101011111000010101000 (23 bits)
Octal	0o25370250
Hexadecimal	0x55F0A8

Divisor Catalog (16)

1 2 4 8 17 34 68 136 41,413 82,826 165,652 331,304 704,021 1,408,042 2,816,084 5,632,168

Collatz Trajectory (201 steps to reach 1)

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

5,632,168 2,816,084 1,408,042 704,021 2,112,064 1,056,032 528,016 264,008 132,004 66,002 33,001 99,004 49,502 24,751 74,254 37,127 111,382 55,691 167,074 83,537 250,612 125,306 62,653 187,960 93,980 46,990 23,495 70,486 35,243 105,730 52,865 158,596 79,298 39,649 118,948 59,474 29,737 89,212 44,606 22,303 66,910 33,455 100,366 50,183 150,550 75,275 225,826 112,913 338,740 169,370 84,685 254,056 127,028 63,514 31,757 95,272 47,636 23,818 11,909 35,728

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