λ
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Atlas › Integer Profiles › Node 28,876,925

28,876,925

52 × 72 × 11 × 2143
Deficient Odd Composite

28,876,925 factors as 5^2 × 7^2 × 11 × 2143. Its 36 positive divisors give a proper-divisor sum of 16,584,451, so this integer is deficient. The Collatz stopping time is 250 steps.

Prime Factor Structure

Factorization String 5^2 × 7^2 × 11 × 2143
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 45,461,376
Proper Divisor Sum 16,584,451
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #28876919 ← → #28876963

Radix Representation

Decimal 28876925
Binary 1101110001010000001111101 (25 bits)
Octal 0o156120175
Hexadecimal 0x1B8A07D

Divisor Catalog (36)

1 5 7 11 25 35 49 55 77 175 245 275 385 539 1,225 1,925 2,143 2,695 10,715 13,475 15,001 23,573 53,575 75,005 105,007 117,865 165,011 375,025 525,035 589,325 825,055 1,155,077 2,625,175 4,125,275 5,775,385 28,876,925

Collatz Trajectory (250 steps to reach 1)

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

28,876,925 86,630,776 43,315,388 21,657,694 10,828,847 32,486,542 16,243,271 48,729,814 24,364,907 73,094,722 36,547,361 109,642,084 54,821,042 27,410,521 82,231,564 41,115,782 20,557,891 61,673,674 30,836,837 92,510,512 46,255,256 23,127,628 11,563,814 5,781,907 17,345,722 8,672,861 26,018,584 13,009,292 6,504,646 3,252,323 9,756,970 4,878,485 14,635,456 7,317,728 3,658,864 1,829,432 914,716 457,358 228,679 686,038 343,019 1,029,058 514,529 1,543,588 771,794 385,897 1,157,692 578,846 289,423 868,270 434,135 1,302,406 651,203 1,953,610 976,805 2,930,416 1,465,208 732,604 366,302 183,151

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