5,615,780

2² × 5 × 17 × 83 × 199

Starting at 5,615,780, the Collatz iteration reaches 1 after 157 steps. The first transition is 2807890; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 83 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,700,800

Proper Divisor Sum 7,085,020

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5615777 ← → #5615791

Radix Representation

Decimal	5615780
Binary	10101011011000010100100 (23 bits)
Octal	0o25330244
Hexadecimal	0x55B0A4

Divisor Catalog (48)

1 2 4 5 10 17 20 34 68 83 85 166 170 199 332 340 398 415 796 830 995 1,411 1,660 1,990 2,822 3,383 3,980 5,644 6,766 7,055 13,532 14,110 16,517 16,915 28,220 33,034 33,830 66,068 67,660 82,585 165,170 280,789 330,340 561,578 1,123,156 1,403,945 2,807,890 5,615,780

Collatz Trajectory (157 steps to reach 1)

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

5,615,780 2,807,890 1,403,945 4,211,836 2,105,918 1,052,959 3,158,878 1,579,439 4,738,318 2,369,159 7,107,478 3,553,739 10,661,218 5,330,609 15,991,828 7,995,914 3,997,957 11,993,872 5,996,936 2,998,468 1,499,234 749,617 2,248,852 1,124,426 562,213 1,686,640 843,320 421,660 210,830 105,415 316,246 158,123 474,370 237,185 711,556 355,778 177,889 533,668 266,834 133,417 400,252 200,126 100,063 300,190 150,095 450,286 225,143 675,430 337,715 1,013,146 506,573 1,519,720 759,860 379,930 189,965 569,896 284,948 142,474 71,237 213,712

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