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2,875,873

7 × 11 × 133 × 17
Deficient Odd Composite

2,875,873 factors as 7 × 11 × 13^3 × 17. Its 32 positive divisors give a proper-divisor sum of 1,236,767, so this integer is deficient. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 7 × 11 × 13^3 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,112,640
Proper Divisor Sum 1,236,767
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2875871 ← → #2875903

Radix Representation

Decimal 2875873
Binary 1010111110000111100001 (22 bits)
Octal 0o12760741
Hexadecimal 0x2BE1E1

Divisor Catalog (32)

1 7 11 13 17 77 91 119 143 169 187 221 1,001 1,183 1,309 1,547 1,859 2,197 2,431 2,873 13,013 15,379 17,017 20,111 24,167 31,603 37,349 169,169 221,221 261,443 410,839 2,875,873

Collatz Trajectory (76 steps to reach 1)

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

2,875,873 8,627,620 4,313,810 2,156,905 6,470,716 3,235,358 1,617,679 4,853,038 2,426,519 7,279,558 3,639,779 10,919,338 5,459,669 16,379,008 8,189,504 4,094,752 2,047,376 1,023,688 511,844 255,922 127,961 383,884 191,942 95,971 287,914 143,957 431,872 215,936 107,968 53,984 26,992 13,496 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88

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