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5,784,506

2 × 7 × 13 × 37 × 859
Deficient Even Composite

5,784,506 factors as 2 × 7 × 13 × 37 × 859. Its 32 positive divisors give a proper-divisor sum of 5,195,974, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 37 × 859
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,980,480
Proper Divisor Sum 5,195,974
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5784503 ← → #5784509

Radix Representation

Decimal 5784506
Binary 10110000100001110111010 (23 bits)
Octal 0o26041672
Hexadecimal 0x5843BA

Divisor Catalog (32)

1 2 7 13 14 26 37 74 91 182 259 481 518 859 962 1,718 3,367 6,013 6,734 11,167 12,026 22,334 31,783 63,566 78,169 156,338 222,481 413,179 444,962 826,358 2,892,253 5,784,506

Collatz Trajectory (77 steps to reach 1)

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

5,784,506 2,892,253 8,676,760 4,338,380 2,169,190 1,084,595 3,253,786 1,626,893 4,880,680 2,440,340 1,220,170 610,085 1,830,256 915,128 457,564 228,782 114,391 343,174 171,587 514,762 257,381 772,144 386,072 193,036 96,518 48,259 144,778 72,389 217,168 108,584 54,292 27,146 13,573 40,720 20,360 10,180 5,090 2,545 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29

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