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Atlas › Integer Profiles › Node 3,673,791

3,673,791

32 × 11 × 43 × 863
Deficient Odd Composite

3,673,791 factors as 3^2 × 11 × 43 × 863. Its 24 positive divisors give a proper-divisor sum of 2,256,705, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 43 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,930,496
Proper Divisor Sum 2,256,705
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3673781 ← → #3673793

Radix Representation

Decimal 3673791
Binary 1110000000111010111111 (22 bits)
Octal 0o16007277
Hexadecimal 0x380EBF

Divisor Catalog (24)

1 3 9 11 33 43 99 129 387 473 863 1,419 2,589 4,257 7,767 9,493 28,479 37,109 85,437 111,327 333,981 408,199 1,224,597 3,673,791

Collatz Trajectory (216 steps to reach 1)

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

3,673,791 11,021,374 5,510,687 16,532,062 8,266,031 24,798,094 12,399,047 37,197,142 18,598,571 55,795,714 27,897,857 83,693,572 41,846,786 20,923,393 62,770,180 31,385,090 15,692,545 47,077,636 23,538,818 11,769,409 35,308,228 17,654,114 8,827,057 26,481,172 13,240,586 6,620,293 19,860,880 9,930,440 4,965,220 2,482,610 1,241,305 3,723,916 1,861,958 930,979 2,792,938 1,396,469 4,189,408 2,094,704 1,047,352 523,676 261,838 130,919 392,758 196,379 589,138 294,569 883,708 441,854 220,927 662,782 331,391 994,174 497,087 1,491,262 745,631 2,236,894 1,118,447 3,355,342 1,677,671 5,033,014

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