1,820,001

3 × 251 × 2417

1,820,001 has the prime decomposition 3 × 251 × 2417. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 251 × 2417

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,437,344

Proper Divisor Sum 617,343

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #1819999 ← → #1820009

Radix Representation

Decimal	1820001
Binary	110111100010101100001 (21 bits)
Octal	0o6742541
Hexadecimal	0x1BC561

Divisor Catalog (8)

1 3 251 753 2,417 7,251 606,667 1,820,001

Collatz Trajectory (233 steps to reach 1)

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

1,820,001 5,460,004 2,730,002 1,365,001 4,095,004 2,047,502 1,023,751 3,071,254 1,535,627 4,606,882 2,303,441 6,910,324 3,455,162 1,727,581 5,182,744 2,591,372 1,295,686 647,843 1,943,530 971,765 2,915,296 1,457,648 728,824 364,412 182,206 91,103 273,310 136,655 409,966 204,983 614,950 307,475 922,426 461,213 1,383,640 691,820 345,910 172,955 518,866 259,433 778,300 389,150 194,575 583,726 291,863 875,590 437,795 1,313,386 656,693 1,970,080 985,040 492,520 246,260 123,130 61,565 184,696 92,348 46,174 23,087 69,262

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