5,461,215

3 × 5 × 43 × 8467

Starting at 5,461,215, the Collatz iteration reaches 1 after 232 steps. The first transition is 16383646; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 43 × 8467

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,942,208

Proper Divisor Sum 3,480,993

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5461213 ← → #5461229

Radix Representation

Decimal	5461215
Binary	10100110101010011011111 (23 bits)
Octal	0o24652337
Hexadecimal	0x5354DF

Divisor Catalog (16)

1 3 5 15 43 129 215 645 8,467 25,401 42,335 127,005 364,081 1,092,243 1,820,405 5,461,215

Collatz Trajectory (232 steps to reach 1)

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

5,461,215 16,383,646 8,191,823 24,575,470 12,287,735 36,863,206 18,431,603 55,294,810 27,647,405 82,942,216 41,471,108 20,735,554 10,367,777 31,103,332 15,551,666 7,775,833 23,327,500 11,663,750 5,831,875 17,495,626 8,747,813 26,243,440 13,121,720 6,560,860 3,280,430 1,640,215 4,920,646 2,460,323 7,380,970 3,690,485 11,071,456 5,535,728 2,767,864 1,383,932 691,966 345,983 1,037,950 518,975 1,556,926 778,463 2,335,390 1,167,695 3,503,086 1,751,543 5,254,630 2,627,315 7,881,946 3,940,973 11,822,920 5,911,460 2,955,730 1,477,865 4,433,596 2,216,798 1,108,399 3,325,198 1,662,599 4,987,798 2,493,899 7,481,698

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