8,370,747

3² × 7 × 11 × 47 × 257

Starting at 8,370,747, the Collatz iteration reaches 1 after 168 steps. The first transition is 25112242; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 47 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,455,232

Proper Divisor Sum 7,084,485

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8370721 ← → #8370757

Radix Representation

Decimal	8370747
Binary	11111111011101000111011 (23 bits)
Octal	0o37735073
Hexadecimal	0x7FBA3B

Divisor Catalog (48)

1 3 7 9 11 21 33 47 63 77 99 141 231 257 329 423 517 693 771 987 1,551 1,799 2,313 2,827 2,961 3,619 4,653 5,397 8,481 10,857 12,079 16,191 19,789 25,443 32,571 36,237 59,367 84,553 108,711 132,869 178,101 253,659 398,607 760,977 930,083 1,195,821 2,790,249 8,370,747

Collatz Trajectory (168 steps to reach 1)

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

8,370,747 25,112,242 12,556,121 37,668,364 18,834,182 9,417,091 28,251,274 14,125,637 42,376,912 21,188,456 10,594,228 5,297,114 2,648,557 7,945,672 3,972,836 1,986,418 993,209 2,979,628 1,489,814 744,907 2,234,722 1,117,361 3,352,084 1,676,042 838,021 2,514,064 1,257,032 628,516 314,258 157,129 471,388 235,694 117,847 353,542 176,771 530,314 265,157 795,472 397,736 198,868 99,434 49,717 149,152 74,576 37,288 18,644 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164 82 41

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