λ
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Atlas › Integer Profiles › Node 3,418,488

3,418,488

23 × 32 × 79 × 601
Abundant Even Composite

Starting at 3,418,488, the Collatz iteration reaches 1 after 133 steps. The first transition is 1709244; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 79 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,391,200
Proper Divisor Sum 5,972,712
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3418469 ← → #3418511

Radix Representation

Decimal 3418488
Binary 1101000010100101111000 (22 bits)
Octal 0o15024570
Hexadecimal 0x342978

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 601 632 711 948 1,202 1,422 1,803 1,896 2,404 2,844 3,606 4,808 5,409 5,688 7,212 10,818 14,424 21,636 43,272 47,479 94,958 142,437 189,916 284,874 379,832 427,311 569,748 854,622 1,139,496 1,709,244 3,418,488

Collatz Trajectory (133 steps to reach 1)

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

3,418,488 1,709,244 854,622 427,311 1,281,934 640,967 1,922,902 961,451 2,884,354 1,442,177 4,326,532 2,163,266 1,081,633 3,244,900 1,622,450 811,225 2,433,676 1,216,838 608,419 1,825,258 912,629 2,737,888 1,368,944 684,472 342,236 171,118 85,559 256,678 128,339 385,018 192,509 577,528 288,764 144,382 72,191 216,574 108,287 324,862 162,431 487,294 243,647 730,942 365,471 1,096,414 548,207 1,644,622 822,311 2,466,934 1,233,467 3,700,402 1,850,201 5,550,604 2,775,302 1,387,651 4,162,954 2,081,477 6,244,432 3,122,216 1,561,108 780,554

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