4,782,100

2² × 5² × 17 × 29 × 97

Starting at 4,782,100, the Collatz iteration reaches 1 after 118 steps. The first transition is 2391050; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 17 × 29 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 11,483,640

Proper Divisor Sum 6,701,540

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4782097 ← → #4782101

Radix Representation

Decimal	4782100
Binary	10010001111100000010100 (23 bits)
Octal	0o22174024
Hexadecimal	0x48F814

Divisor Catalog (60 of 72)

1 2 4 5 10 17 20 25 29 34 50 58 68 85 97 100 116 145 170 194 290 340 388 425 485 493 580 725 850 970 986 1,450 1,649 1,700 1,940 1,972 2,425 2,465 2,813 2,900 3,298 4,850 4,930 5,626 6,596 8,245 9,700 9,860 11,252 12,325 14,065 16,490 24,650 28,130 32,980 41,225 47,821 49,300 56,260 70,325

Collatz Trajectory (118 steps to reach 1)

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

4,782,100 2,391,050 1,195,525 3,586,576 1,793,288 896,644 448,322 224,161 672,484 336,242 168,121 504,364 252,182 126,091 378,274 189,137 567,412 283,706 141,853 425,560 212,780 106,390 53,195 159,586 79,793 239,380 119,690 59,845 179,536 89,768 44,884 22,442 11,221 33,664 16,832 8,416 4,208 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850

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