6,461,320

2³ × 5 × 163 × 991

Starting at 6,461,320, the Collatz iteration reaches 1 after 72 steps. The first transition is 3230660; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 163 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,641,920

Proper Divisor Sum 8,180,600

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6461317 ← → #6461333

Radix Representation

Decimal	6461320
Binary	11000101001011110001000 (23 bits)
Octal	0o30513610
Hexadecimal	0x629788

Divisor Catalog (32)

1 2 4 5 8 10 20 40 163 326 652 815 991 1,304 1,630 1,982 3,260 3,964 4,955 6,520 7,928 9,910 19,820 39,640 161,533 323,066 646,132 807,665 1,292,264 1,615,330 3,230,660 6,461,320

Collatz Trajectory (72 steps to reach 1)

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

6,461,320 3,230,660 1,615,330 807,665 2,422,996 1,211,498 605,749 1,817,248 908,624 454,312 227,156 113,578 56,789 170,368 85,184 42,592 21,296 10,648 5,324 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34

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