5,846,862

2 × 3 × 7 × 73 × 1907

Starting at 5,846,862, the Collatz iteration reaches 1 after 245 steps. The first transition is 2923431; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 73 × 1907

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,554,432

Proper Divisor Sum 7,707,570

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5846857 ← → #5846873

Radix Representation

Decimal	5846862
Binary	10110010011011101001110 (23 bits)
Octal	0o26233516
Hexadecimal	0x59374E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 73 146 219 438 511 1,022 1,533 1,907 3,066 3,814 5,721 11,442 13,349 26,698 40,047 80,094 139,211 278,422 417,633 835,266 974,477 1,948,954 2,923,431 5,846,862

Collatz Trajectory (245 steps to reach 1)

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

5,846,862 2,923,431 8,770,294 4,385,147 13,155,442 6,577,721 19,733,164 9,866,582 4,933,291 14,799,874 7,399,937 22,199,812 11,099,906 5,549,953 16,649,860 8,324,930 4,162,465 12,487,396 6,243,698 3,121,849 9,365,548 4,682,774 2,341,387 7,024,162 3,512,081 10,536,244 5,268,122 2,634,061 7,902,184 3,951,092 1,975,546 987,773 2,963,320 1,481,660 740,830 370,415 1,111,246 555,623 1,666,870 833,435 2,500,306 1,250,153 3,750,460 1,875,230 937,615 2,812,846 1,406,423 4,219,270 2,109,635 6,328,906 3,164,453 9,493,360 4,746,680 2,373,340 1,186,670 593,335 1,780,006 890,003 2,670,010 1,335,005

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