λ
Sequence Observatory
Atlas › Integer Profiles › Node 8,892,276

8,892,276

22 × 3 × 73 × 10151
Abundant Even Composite

Starting at 8,892,276, the Collatz iteration reaches 1 after 181 steps. The first transition is 4446138; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 73 × 10151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,034,944
Proper Divisor Sum 12,142,668
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8892263 ← → #8892277

Radix Representation

Decimal 8892276
Binary 100001111010111101110100 (24 bits)
Octal 0o41727564
Hexadecimal 0x87AF74

Divisor Catalog (24)

1 2 3 4 6 12 73 146 219 292 438 876 10,151 20,302 30,453 40,604 60,906 121,812 741,023 1,482,046 2,223,069 2,964,092 4,446,138 8,892,276

Collatz Trajectory (181 steps to reach 1)

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

8,892,276 4,446,138 2,223,069 6,669,208 3,334,604 1,667,302 833,651 2,500,954 1,250,477 3,751,432 1,875,716 937,858 468,929 1,406,788 703,394 351,697 1,055,092 527,546 263,773 791,320 395,660 197,830 98,915 296,746 148,373 445,120 222,560 111,280 55,640 27,820 13,910 6,955 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570

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