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Atlas › Integer Profiles › Node 5,963,340

5,963,340

22 × 3 × 5 × 19 × 5231
Abundant Even Composite

5,963,340 factors as 2^2 × 3 × 5 × 19 × 5231. Its 48 positive divisors give a proper-divisor sum of 11,616,180, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 19 × 5231
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,579,520
Proper Divisor Sum 11,616,180
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5963317 ← → #5963341

Radix Representation

Decimal 5963340
Binary 10110101111111001001100 (23 bits)
Octal 0o26577114
Hexadecimal 0x5AFE4C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1,140 5,231 10,462 15,693 20,924 26,155 31,386 52,310 62,772 78,465 99,389 104,620 156,930 198,778 298,167 313,860 397,556 496,945 596,334 993,890 1,192,668 1,490,835 1,987,780 2,981,670 5,963,340

Collatz Trajectory (139 steps to reach 1)

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

5,963,340 2,981,670 1,490,835 4,472,506 2,236,253 6,708,760 3,354,380 1,677,190 838,595 2,515,786 1,257,893 3,773,680 1,886,840 943,420 471,710 235,855 707,566 353,783 1,061,350 530,675 1,592,026 796,013 2,388,040 1,194,020 597,010 298,505 895,516 447,758 223,879 671,638 335,819 1,007,458 503,729 1,511,188 755,594 377,797 1,133,392 566,696 283,348 141,674 70,837 212,512 106,256 53,128 26,564 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052

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