8,679,512

2³ × 1084939

Starting at 8,679,512, the Collatz iteration reaches 1 after 212 steps. The first transition is 4339756; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1084939

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 16,274,100

Proper Divisor Sum 7,594,588

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8679499 ← → #8679527

Radix Representation

Decimal	8679512
Binary	100001000111000001011000 (24 bits)
Octal	0o41070130
Hexadecimal	0x847058

Divisor Catalog (8)

1 2 4 8 1,084,939 2,169,878 4,339,756 8,679,512

Collatz Trajectory (212 steps to reach 1)

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

8,679,512 4,339,756 2,169,878 1,084,939 3,254,818 1,627,409 4,882,228 2,441,114 1,220,557 3,661,672 1,830,836 915,418 457,709 1,373,128 686,564 343,282 171,641 514,924 257,462 128,731 386,194 193,097 579,292 289,646 144,823 434,470 217,235 651,706 325,853 977,560 488,780 244,390 122,195 366,586 183,293 549,880 274,940 137,470 68,735 206,206 103,103 309,310 154,655 463,966 231,983 695,950 347,975 1,043,926 521,963 1,565,890 782,945 2,348,836 1,174,418 587,209 1,761,628 880,814 440,407 1,321,222 660,611 1,981,834

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