6,540,852

2² × 3 × 17 × 32063

Starting at 6,540,852, the Collatz iteration reaches 1 after 46 steps. The first transition is 3270426; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 32063

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,160,256

Proper Divisor Sum 9,619,404

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6540841 ← → #6540857

Radix Representation

Decimal	6540852
Binary	11000111100111000110100 (23 bits)
Octal	0o30747064
Hexadecimal	0x63CE34

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 32,063 64,126 96,189 128,252 192,378 384,756 545,071 1,090,142 1,635,213 2,180,284 3,270,426 6,540,852

Collatz Trajectory (46 steps to reach 1)

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

6,540,852 3,270,426 1,635,213 4,905,640 2,452,820 1,226,410 613,205 1,839,616 919,808 459,904 229,952 114,976 57,488 28,744 14,372 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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