λ
Sequence Observatory

5,692,992

26 × 3 × 149 × 199
Abundant Even Composite

Starting at 5,692,992, the Collatz iteration reaches 1 after 100 steps. The first transition is 2846496; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 149 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 15,240,000
Proper Divisor Sum 9,547,008
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5692963 ← → #5693021

Radix Representation

Decimal 5692992
Binary 10101101101111001000000 (23 bits)
Octal 0o25557100
Hexadecimal 0x56DE40

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 199 298 398 447 596 597 796 894 1,192 1,194 1,592 1,788 2,384 2,388 3,184 3,576 4,768 4,776 6,368 7,152 9,536 9,552 12,736 14,304 19,104 28,608 29,651 38,208 59,302 88,953 118,604 177,906 237,208 355,812 474,416 711,624 948,832 1,423,248 1,897,664 2,846,496 5,692,992

Collatz Trajectory (100 steps to reach 1)

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

5,692,992 2,846,496 1,423,248 711,624 355,812 177,906 88,953 266,860 133,430 66,715 200,146 100,073 300,220 150,110 75,055 225,166 112,583 337,750 168,875 506,626 253,313 759,940 379,970 189,985 569,956 284,978 142,489 427,468 213,734 106,867 320,602 160,301 480,904 240,452 120,226 60,113 180,340 90,170 45,085 135,256 67,628 33,814 16,907 50,722 25,361 76,084 38,042 19,021 57,064 28,532 14,266 7,133 21,400 10,700 5,350 2,675 8,026 4,013 12,040 6,020

More profiles

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