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Atlas › Integer Profiles › Node 3,380,976

3,380,976

24 × 32 × 53 × 443
Abundant Even Composite

3,380,976 factors as 2^4 × 3^2 × 53 × 443. Its 60 positive divisors give a proper-divisor sum of 6,281,352, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 53 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,662,328
Proper Divisor Sum 6,281,352
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3380969 ← → #3380981

Radix Representation

Decimal 3380976
Binary 1100111001011011110000 (22 bits)
Octal 0o14713360
Hexadecimal 0x3396F0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 443 477 636 848 886 954 1,272 1,329 1,772 1,908 2,544 2,658 3,544 3,816 3,987 5,316 7,088 7,632 7,974 10,632 15,948 21,264 23,479 31,896 46,958 63,792 70,437 93,916 140,874 187,832 211,311 281,748 375,664 422,622 563,496 845,244 1,126,992 1,690,488 3,380,976

Collatz Trajectory (133 steps to reach 1)

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

3,380,976 1,690,488 845,244 422,622 211,311 633,934 316,967 950,902 475,451 1,426,354 713,177 2,139,532 1,069,766 534,883 1,604,650 802,325 2,406,976 1,203,488 601,744 300,872 150,436 75,218 37,609 112,828 56,414 28,207 84,622 42,311 126,934 63,467 190,402 95,201 285,604 142,802 71,401 214,204 107,102 53,551 160,654 80,327 240,982 120,491 361,474 180,737 542,212 271,106 135,553 406,660 203,330 101,665 304,996 152,498 76,249 228,748 114,374 57,187 171,562 85,781 257,344 128,672

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