λ
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3,333,408

25 × 3 × 13 × 2671
Abundant Even Composite

3,333,408 factors as 2^5 × 3 × 13 × 2671. Its 48 positive divisors give a proper-divisor sum of 6,093,408, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 2671
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,426,816
Proper Divisor Sum 6,093,408
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3333401 ← → #3333419

Radix Representation

Decimal 3333408
Binary 1100101101110100100000 (22 bits)
Octal 0o14556440
Hexadecimal 0x32DD20

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1,248 2,671 5,342 8,013 10,684 16,026 21,368 32,052 34,723 42,736 64,104 69,446 85,472 104,169 128,208 138,892 208,338 256,416 277,784 416,676 555,568 833,352 1,111,136 1,666,704 3,333,408

Collatz Trajectory (164 steps to reach 1)

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

3,333,408 1,666,704 833,352 416,676 208,338 104,169 312,508 156,254 78,127 234,382 117,191 351,574 175,787 527,362 263,681 791,044 395,522 197,761 593,284 296,642 148,321 444,964 222,482 111,241 333,724 166,862 83,431 250,294 125,147 375,442 187,721 563,164 281,582 140,791 422,374 211,187 633,562 316,781 950,344 475,172 237,586 118,793 356,380 178,190 89,095 267,286 133,643 400,930 200,465 601,396 300,698 150,349 451,048 225,524 112,762 56,381 169,144 84,572 42,286 21,143

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