6,459,048

2³ × 3³ × 17 × 1759

Starting at 6,459,048, the Collatz iteration reaches 1 after 72 steps. The first transition is 3229524; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 17 × 1759

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 19,008,000

Proper Divisor Sum 12,548,952

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6459029 ← → #6459049

Radix Representation

Decimal	6459048
Binary	11000101000111010101000 (23 bits)
Octal	0o30507250
Hexadecimal	0x628EA8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1,224 1,759 1,836 3,518 3,672 5,277 7,036 10,554 14,072 15,831 21,108 29,903 31,662 42,216 47,493 59,806 63,324 89,709 94,986 119,612 126,648 179,418 189,972 239,224 269,127 358,836 379,944 538,254 717,672 807,381 1,076,508

Collatz Trajectory (72 steps to reach 1)

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

6,459,048 3,229,524 1,614,762 807,381 2,422,144 1,211,072 605,536 302,768 151,384 75,692 37,846 18,923 56,770 28,385 85,156 42,578 21,289 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34

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