λ
Sequence Observatory

8,094,096

24 × 32 × 56209
Abundant Even Composite

Starting at 8,094,096, the Collatz iteration reaches 1 after 137 steps. The first transition is 4047048; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 56209
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 22,652,630
Proper Divisor Sum 14,558,534
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8094089 ← → #8094101

Radix Representation

Decimal 8094096
Binary 11110111000000110010000 (23 bits)
Octal 0o36700620
Hexadecimal 0x7B8190

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 56,209 112,418 168,627 224,836 337,254 449,672 505,881 674,508 899,344 1,011,762 1,349,016 2,023,524 2,698,032 4,047,048 8,094,096

Collatz Trajectory (137 steps to reach 1)

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

8,094,096 4,047,048 2,023,524 1,011,762 505,881 1,517,644 758,822 379,411 1,138,234 569,117 1,707,352 853,676 426,838 213,419 640,258 320,129 960,388 480,194 240,097 720,292 360,146 180,073 540,220 270,110 135,055 405,166 202,583 607,750 303,875 911,626 455,813 1,367,440 683,720 341,860 170,930 85,465 256,396 128,198 64,099 192,298 96,149 288,448 144,224 72,112 36,056 18,028 9,014 4,507 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352

More profiles

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