5,213,165

5 × 1042633

Starting at 5,213,165, the Collatz iteration reaches 1 after 325 steps. The first transition is 15639496; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1042633

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 6,255,804

Proper Divisor Sum 1,042,639

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #5213161 ← → #5213171

Radix Representation

Decimal	5213165
Binary	10011111000101111101101 (23 bits)
Octal	0o23705755
Hexadecimal	0x4F8BED

Divisor Catalog (4)

1 5 1,042,633 5,213,165

Collatz Trajectory (325 steps to reach 1)

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

5,213,165 15,639,496 7,819,748 3,909,874 1,954,937 5,864,812 2,932,406 1,466,203 4,398,610 2,199,305 6,597,916 3,298,958 1,649,479 4,948,438 2,474,219 7,422,658 3,711,329 11,133,988 5,566,994 2,783,497 8,350,492 4,175,246 2,087,623 6,262,870 3,131,435 9,394,306 4,697,153 14,091,460 7,045,730 3,522,865 10,568,596 5,284,298 2,642,149 7,926,448 3,963,224 1,981,612 990,806 495,403 1,486,210 743,105 2,229,316 1,114,658 557,329 1,671,988 835,994 417,997 1,253,992 626,996 313,498 156,749 470,248 235,124 117,562 58,781 176,344 88,172 44,086 22,043 66,130 33,065

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