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Atlas › Integer Profiles › Node 4,785,274

4,785,274

2 × 13 × 41 × 672
Deficient Even Composite

4,785,274 factors as 2 × 13 × 41 × 67^2. Its 24 positive divisors give a proper-divisor sum of 3,253,274, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 13 × 41 × 67^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,038,548
Proper Divisor Sum 3,253,274
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4785271 ← → #4785281

Radix Representation

Decimal 4785274
Binary 10010010000010001111010 (23 bits)
Octal 0o22202172
Hexadecimal 0x49047A

Divisor Catalog (24)

1 2 13 26 41 67 82 134 533 871 1,066 1,742 2,747 4,489 5,494 8,978 35,711 58,357 71,422 116,714 184,049 368,098 2,392,637 4,785,274

Collatz Trajectory (131 steps to reach 1)

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

4,785,274 2,392,637 7,177,912 3,588,956 1,794,478 897,239 2,691,718 1,345,859 4,037,578 2,018,789 6,056,368 3,028,184 1,514,092 757,046 378,523 1,135,570 567,785 1,703,356 851,678 425,839 1,277,518 638,759 1,916,278 958,139 2,874,418 1,437,209 4,311,628 2,155,814 1,077,907 3,233,722 1,616,861 4,850,584 2,425,292 1,212,646 606,323 1,818,970 909,485 2,728,456 1,364,228 682,114 341,057 1,023,172 511,586 255,793 767,380 383,690 191,845 575,536 287,768 143,884 71,942 35,971 107,914 53,957 161,872 80,936 40,468 20,234 10,117 30,352

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