3,125,001

3 × 11 × 281 × 337

3,125,001 is odd and not a perfect square. Its factorization is 3 × 11 × 281 × 337 and its 16 divisors sum to 4,575,168.

Prime Factor Structure

Factorization String 3 × 11 × 281 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,575,168

Proper Divisor Sum 1,450,167

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #3124999 ← → #3125009

Radix Representation

Decimal	3125001
Binary	1011111010111100001001 (22 bits)
Octal	0o13727411
Hexadecimal	0x2FAF09

Divisor Catalog (16)

1 3 11 33 281 337 843 1,011 3,091 3,707 9,273 11,121 94,697 284,091 1,041,667 3,125,001

Collatz Trajectory (164 steps to reach 1)

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

3,125,001 9,375,004 4,687,502 2,343,751 7,031,254 3,515,627 10,546,882 5,273,441 15,820,324 7,910,162 3,955,081 11,865,244 5,932,622 2,966,311 8,898,934 4,449,467 13,348,402 6,674,201 20,022,604 10,011,302 5,005,651 15,016,954 7,508,477 22,525,432 11,262,716 5,631,358 2,815,679 8,447,038 4,223,519 12,670,558 6,335,279 19,005,838 9,502,919 28,508,758 14,254,379 42,763,138 21,381,569 64,144,708 32,072,354 16,036,177 48,108,532 24,054,266 12,027,133 36,081,400 18,040,700 9,020,350 4,510,175 13,530,526 6,765,263 20,295,790 10,147,895 30,443,686 15,221,843 45,665,530 22,832,765 68,498,296 34,249,148 17,124,574 8,562,287 25,686,862

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