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Atlas › Integer Profiles › Node 3,923,110

3,923,110

2 × 5 × 23 × 37 × 461
Deficient Even Composite

3,923,110 factors as 2 × 5 × 23 × 37 × 461. Its 32 positive divisors give a proper-divisor sum of 3,661,082, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 37 × 461
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,584,192
Proper Divisor Sum 3,661,082
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3923099 ← → #3923159

Radix Representation

Decimal 3923110
Binary 1110111101110010100110 (22 bits)
Octal 0o16756246
Hexadecimal 0x3BDCA6

Divisor Catalog (32)

1 2 5 10 23 37 46 74 115 185 230 370 461 851 922 1,702 2,305 4,255 4,610 8,510 10,603 17,057 21,206 34,114 53,015 85,285 106,030 170,570 392,311 784,622 1,961,555 3,923,110

Collatz Trajectory (198 steps to reach 1)

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

3,923,110 1,961,555 5,884,666 2,942,333 8,827,000 4,413,500 2,206,750 1,103,375 3,310,126 1,655,063 4,965,190 2,482,595 7,447,786 3,723,893 11,171,680 5,585,840 2,792,920 1,396,460 698,230 349,115 1,047,346 523,673 1,571,020 785,510 392,755 1,178,266 589,133 1,767,400 883,700 441,850 220,925 662,776 331,388 165,694 82,847 248,542 124,271 372,814 186,407 559,222 279,611 838,834 419,417 1,258,252 629,126 314,563 943,690 471,845 1,415,536 707,768 353,884 176,942 88,471 265,414 132,707 398,122 199,061 597,184 298,592 149,296

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