λ
Prime Ledger

869,240

23 × 5 × 31 × 701
Abundant Even Composite

869,240 has the prime decomposition 2^3 × 5 × 31 × 701. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,021,760
Proper Divisor Sum 1,152,520
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #869233 ← → #869249

Radix Representation

Decimal 869240
Binary 11010100001101111000 (20 bits)
Octal 0o3241570
Hexadecimal 0xD4378

Divisor Catalog (32)

1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 701 1,240 1,402 2,804 3,505 5,608 7,010 14,020 21,731 28,040 43,462 86,924 108,655 173,848 217,310 434,620 869,240

Collatz Trajectory (201 steps to reach 1)

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

869,240 434,620 217,310 108,655 325,966 162,983 488,950 244,475 733,426 366,713 1,100,140 550,070 275,035 825,106 412,553 1,237,660 618,830 309,415 928,246 464,123 1,392,370 696,185 2,088,556 1,044,278 522,139 1,566,418 783,209 2,349,628 1,174,814 587,407 1,762,222 881,111 2,643,334 1,321,667 3,965,002 1,982,501 5,947,504 2,973,752 1,486,876 743,438 371,719 1,115,158 557,579 1,672,738 836,369 2,509,108 1,254,554 627,277 1,881,832 940,916 470,458 235,229 705,688 352,844 176,422 88,211 264,634 132,317 396,952 198,476

More profiles

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