λ
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Atlas › Integer Profiles › Node 9,094,428

9,094,428

22 × 32 × 7 × 151 × 239
Abundant Even Composite

9,094,428 factors as 2^2 × 3^2 × 7 × 151 × 239. Its 72 positive divisors give a proper-divisor sum of 17,463,012, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 151 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 26,557,440
Proper Divisor Sum 17,463,012
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9094417 ← → #9094441

Radix Representation

Decimal 9094428
Binary 100010101100010100011100 (24 bits)
Octal 0o42542434
Hexadecimal 0x8AC51C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 239 252 302 453 478 604 717 906 956 1,057 1,359 1,434 1,673 1,812 2,114 2,151 2,718 2,868 3,171 3,346 4,228 4,302 5,019 5,436 6,342 6,692 8,604 9,513 10,038 12,684 15,057 19,026 20,076 30,114 36,089 38,052 60,228 72,178 108,267 144,356 216,534 252,623

Collatz Trajectory (132 steps to reach 1)

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

9,094,428 4,547,214 2,273,607 6,820,822 3,410,411 10,231,234 5,115,617 15,346,852 7,673,426 3,836,713 11,510,140 5,755,070 2,877,535 8,632,606 4,316,303 12,948,910 6,474,455 19,423,366 9,711,683 29,135,050 14,567,525 43,702,576 21,851,288 10,925,644 5,462,822 2,731,411 8,194,234 4,097,117 12,291,352 6,145,676 3,072,838 1,536,419 4,609,258 2,304,629 6,913,888 3,456,944 1,728,472 864,236 432,118 216,059 648,178 324,089 972,268 486,134 243,067 729,202 364,601 1,093,804 546,902 273,451 820,354 410,177 1,230,532 615,266 307,633 922,900 461,450 230,725 692,176 346,088

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