5,816,642

2 × 13² × 17209

Starting at 5,816,642, the Collatz iteration reaches 1 after 108 steps. The first transition is 2908321; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 13^2 × 17209

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,448,290

Proper Divisor Sum 3,631,648

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5816639 ← → #5816647

Radix Representation

Decimal	5816642
Binary	10110001100000101000010 (23 bits)
Octal	0o26140502
Hexadecimal	0x58C142

Divisor Catalog (12)

1 2 13 26 169 338 17,209 34,418 223,717 447,434 2,908,321 5,816,642

Collatz Trajectory (108 steps to reach 1)

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

5,816,642 2,908,321 8,724,964 4,362,482 2,181,241 6,543,724 3,271,862 1,635,931 4,907,794 2,453,897 7,361,692 3,680,846 1,840,423 5,521,270 2,760,635 8,281,906 4,140,953 12,422,860 6,211,430 3,105,715 9,317,146 4,658,573 13,975,720 6,987,860 3,493,930 1,746,965 5,240,896 2,620,448 1,310,224 655,112 327,556 163,778 81,889 245,668 122,834 61,417 184,252 92,126 46,063 138,190 69,095 207,286 103,643 310,930 155,465 466,396 233,198 116,599 349,798 174,899 524,698 262,349 787,048 393,524 196,762 98,381 295,144 147,572 73,786 36,893

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