λ
Sequence Observatory
Atlas › Integer Profiles › Node 8,023,184

8,023,184

24 × 13 × 17 × 2269
Abundant Even Composite

Starting at 8,023,184, the Collatz iteration reaches 1 after 155 steps. The first transition is 4011592; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 17 × 2269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,733,240
Proper Divisor Sum 9,710,056
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8023157 ← → #8023189

Radix Representation

Decimal 8023184
Binary 11110100110110010010000 (23 bits)
Octal 0o36466220
Hexadecimal 0x7A6C90

Divisor Catalog (40)

1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1,768 2,269 3,536 4,538 9,076 18,152 29,497 36,304 38,573 58,994 77,146 117,988 154,292 235,976 308,584 471,952 501,449 617,168 1,002,898 2,005,796 4,011,592 8,023,184

Collatz Trajectory (155 steps to reach 1)

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

8,023,184 4,011,592 2,005,796 1,002,898 501,449 1,504,348 752,174 376,087 1,128,262 564,131 1,692,394 846,197 2,538,592 1,269,296 634,648 317,324 158,662 79,331 237,994 118,997 356,992 178,496 89,248 44,624 22,312 11,156 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

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