λ
Sigma Notebook

2,003,921

23 × 151 × 577
Deficient Odd Composite

2,003,921 is odd and not a perfect square. Its factorization is 23 × 151 × 577 and its 8 divisors sum to 2,108,544.

Prime Factor Structure

Factorization String 23 × 151 × 577
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,108,544
Proper Divisor Sum 104,623
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2003917 ← → #2003927

Radix Representation

Decimal 2003921
Binary 111101001001111010001 (21 bits)
Octal 0o7511721
Hexadecimal 0x1E93D1

Divisor Catalog (8)

1 23 151 577 3,473 13,271 87,127 2,003,921

Collatz Trajectory (166 steps to reach 1)

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

2,003,921 6,011,764 3,005,882 1,502,941 4,508,824 2,254,412 1,127,206 563,603 1,690,810 845,405 2,536,216 1,268,108 634,054 317,027 951,082 475,541 1,426,624 713,312 356,656 178,328 89,164 44,582 22,291 66,874 33,437 100,312 50,156 25,078 12,539 37,618 18,809 56,428 28,214 14,107 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630

More profiles

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