λ
Sequence Observatory

8,471,678

2 × 17 × 101 × 2467
Deficient Even Composite

Starting at 8,471,678, the Collatz iteration reaches 1 after 155 steps. The first transition is 4235839; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 101 × 2467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,593,744
Proper Divisor Sum 5,122,066
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8471677 ← → #8471699

Radix Representation

Decimal 8471678
Binary 100000010100010001111110 (24 bits)
Octal 0o40242176
Hexadecimal 0x81447E

Divisor Catalog (16)

1 2 17 34 101 202 1,717 2,467 3,434 4,934 41,939 83,878 249,167 498,334 4,235,839 8,471,678

Collatz Trajectory (155 steps to reach 1)

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

8,471,678 4,235,839 12,707,518 6,353,759 19,061,278 9,530,639 28,591,918 14,295,959 42,887,878 21,443,939 64,331,818 32,165,909 96,497,728 48,248,864 24,124,432 12,062,216 6,031,108 3,015,554 1,507,777 4,523,332 2,261,666 1,130,833 3,392,500 1,696,250 848,125 2,544,376 1,272,188 636,094 318,047 954,142 477,071 1,431,214 715,607 2,146,822 1,073,411 3,220,234 1,610,117 4,830,352 2,415,176 1,207,588 603,794 301,897 905,692 452,846 226,423 679,270 339,635 1,018,906 509,453 1,528,360 764,180 382,090 191,045 573,136 286,568 143,284 71,642 35,821 107,464 53,732

More profiles

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