5,817,800

2³ × 5² × 19 × 1531

Starting at 5,817,800, the Collatz iteration reaches 1 after 152 steps. The first transition is 2908900; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 19 × 1531

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,247,600

Proper Divisor Sum 8,429,800

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5817767 ← → #5817803

Radix Representation

Decimal	5817800
Binary	10110001100010111001000 (23 bits)
Octal	0o26142710
Hexadecimal	0x58C5C8

Divisor Catalog (48)

1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1,531 1,900 3,062 3,800 6,124 7,655 12,248 15,310 29,089 30,620 38,275 58,178 61,240 76,550 116,356 145,445 153,100 232,712 290,890 306,200 581,780 727,225 1,163,560 1,454,450 2,908,900 5,817,800

Collatz Trajectory (152 steps to reach 1)

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

5,817,800 2,908,900 1,454,450 727,225 2,181,676 1,090,838 545,419 1,636,258 818,129 2,454,388 1,227,194 613,597 1,840,792 920,396 460,198 230,099 690,298 345,149 1,035,448 517,724 258,862 129,431 388,294 194,147 582,442 291,221 873,664 436,832 218,416 109,208 54,604 27,302 13,651 40,954 20,477 61,432 30,716 15,358 7,679 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434

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