5,505,155

5 × 19 × 167 × 347

Starting at 5,505,155, the Collatz iteration reaches 1 after 157 steps. The first transition is 16515466; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 19 × 167 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,015,680

Proper Divisor Sum 1,510,525

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5505151 ← → #5505167

Radix Representation

Decimal	5505155
Binary	10101000000000010000011 (23 bits)
Octal	0o25000203
Hexadecimal	0x540083

Divisor Catalog (16)

1 5 19 95 167 347 835 1,735 3,173 6,593 15,865 32,965 57,949 289,745 1,101,031 5,505,155

Collatz Trajectory (157 steps to reach 1)

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

5,505,155 16,515,466 8,257,733 24,773,200 12,386,600 6,193,300 3,096,650 1,548,325 4,644,976 2,322,488 1,161,244 580,622 290,311 870,934 435,467 1,306,402 653,201 1,959,604 979,802 489,901 1,469,704 734,852 367,426 183,713 551,140 275,570 137,785 413,356 206,678 103,339 310,018 155,009 465,028 232,514 116,257 348,772 174,386 87,193 261,580 130,790 65,395 196,186 98,093 294,280 147,140 73,570 36,785 110,356 55,178 27,589 82,768 41,384 20,692 10,346 5,173 15,520 7,760 3,880 1,940 970

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