λ
Sequence Observatory

8,683,430

2 × 5 × 7 × 17 × 7297
Abundant Even Composite

Starting at 8,683,430, the Collatz iteration reaches 1 after 181 steps. The first transition is 4341715; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 17 × 7297
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,916,416
Proper Divisor Sum 10,232,986
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8683427 ← → #8683439

Radix Representation

Decimal 8683430
Binary 100001000111111110100110 (24 bits)
Octal 0o41077646
Hexadecimal 0x847FA6

Divisor Catalog (32)

1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1,190 7,297 14,594 36,485 51,079 72,970 102,158 124,049 248,098 255,395 510,790 620,245 868,343 1,240,490 1,736,686 4,341,715 8,683,430

Collatz Trajectory (181 steps to reach 1)

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

8,683,430 4,341,715 13,025,146 6,512,573 19,537,720 9,768,860 4,884,430 2,442,215 7,326,646 3,663,323 10,989,970 5,494,985 16,484,956 8,242,478 4,121,239 12,363,718 6,181,859 18,545,578 9,272,789 27,818,368 13,909,184 6,954,592 3,477,296 1,738,648 869,324 434,662 217,331 651,994 325,997 977,992 488,996 244,498 122,249 366,748 183,374 91,687 275,062 137,531 412,594 206,297 618,892 309,446 154,723 464,170 232,085 696,256 348,128 174,064 87,032 43,516 21,758 10,879 32,638 16,319 48,958 24,479 73,438 36,719 110,158 55,079

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