6,413,410

2 × 5 × 83 × 7727

Starting at 6,413,410, the Collatz iteration reaches 1 after 77 steps. The first transition is 3206705; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 83 × 7727

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,684,736

Proper Divisor Sum 5,271,326

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #6413401 ← → #6413411

Radix Representation

Decimal	6413410
Binary	11000011101110001100010 (23 bits)
Octal	0o30356142
Hexadecimal	0x61DC62

Divisor Catalog (16)

1 2 5 10 83 166 415 830 7,727 15,454 38,635 77,270 641,341 1,282,682 3,206,705 6,413,410

Collatz Trajectory (77 steps to reach 1)

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

6,413,410 3,206,705 9,620,116 4,810,058 2,405,029 7,215,088 3,607,544 1,803,772 901,886 450,943 1,352,830 676,415 2,029,246 1,014,623 3,043,870 1,521,935 4,565,806 2,282,903 6,848,710 3,424,355 10,273,066 5,136,533 15,409,600 7,704,800 3,852,400 1,926,200 963,100 481,550 240,775 722,326 361,163 1,083,490 541,745 1,625,236 812,618 406,309 1,218,928 609,464 304,732 152,366 76,183 228,550 114,275 342,826 171,413 514,240 257,120 128,560 64,280 32,140 16,070 8,035 24,106 12,053 36,160 18,080 9,040 4,520 2,260 1,130

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