2,014,875

3⁴ × 5³ × 199

2,014,875 factors as 3^4 × 5^3 × 199. Its 40 positive divisors give a proper-divisor sum of 1,760,325, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3^4 × 5^3 × 199

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 3,775,200

Proper Divisor Sum 1,760,325

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2014867 ← → #2014877

Radix Representation

Decimal	2014875
Binary	111101011111010011011 (21 bits)
Octal	0o7537233
Hexadecimal	0x1EBE9B

Divisor Catalog (40)

1 3 5 9 15 25 27 45 75 81 125 135 199 225 375 405 597 675 995 1,125 1,791 2,025 2,985 3,375 4,975 5,373 8,955 10,125 14,925 16,119 24,875 26,865 44,775 74,625 80,595 134,325 223,875 402,975 671,625 2,014,875

Collatz Trajectory (91 steps to reach 1)

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

2,014,875 6,044,626 3,022,313 9,066,940 4,533,470 2,266,735 6,800,206 3,400,103 10,200,310 5,100,155 15,300,466 7,650,233 22,950,700 11,475,350 5,737,675 17,213,026 8,606,513 25,819,540 12,909,770 6,454,885 19,364,656 9,682,328 4,841,164 2,420,582 1,210,291 3,630,874 1,815,437 5,446,312 2,723,156 1,361,578 680,789 2,042,368 1,021,184 510,592 255,296 127,648 63,824 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358

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