λ
Sequence Observatory

8,401,076

22 × 2100269
Deficient Even Composite

Starting at 8,401,076, the Collatz iteration reaches 1 after 243 steps. The first transition is 4200538; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 2100269
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,701,890
Proper Divisor Sum 6,300,814
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8401061 ← → #8401087

Radix Representation

Decimal 8401076
Binary 100000000011000010110100 (24 bits)
Octal 0o40030264
Hexadecimal 0x8030B4

Divisor Catalog (6)

1 2 4 2,100,269 4,200,538 8,401,076

Collatz Trajectory (243 steps to reach 1)

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

8,401,076 4,200,538 2,100,269 6,300,808 3,150,404 1,575,202 787,601 2,362,804 1,181,402 590,701 1,772,104 886,052 443,026 221,513 664,540 332,270 166,135 498,406 249,203 747,610 373,805 1,121,416 560,708 280,354 140,177 420,532 210,266 105,133 315,400 157,700 78,850 39,425 118,276 59,138 29,569 88,708 44,354 22,177 66,532 33,266 16,633 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296

More profiles

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