λ
Sigma Notebook

2,154,503

13 × 532 × 59
Deficient Odd Composite

2,154,503 is odd and not a perfect square. Its factorization is 13 × 53^2 × 59 and its 12 divisors sum to 2,404,920.

Prime Factor Structure

Factorization String 13 × 53^2 × 59
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,404,920
Proper Divisor Sum 250,417
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2154499 ← → #2154533

Radix Representation

Decimal 2154503
Binary 1000001110000000000111 (22 bits)
Octal 0o10160007
Hexadecimal 0x20E007

Divisor Catalog (12)

1 13 53 59 689 767 2,809 3,127 36,517 40,651 165,731 2,154,503

Collatz Trajectory (117 steps to reach 1)

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

2,154,503 6,463,510 3,231,755 9,695,266 4,847,633 14,542,900 7,271,450 3,635,725 10,907,176 5,453,588 2,726,794 1,363,397 4,090,192 2,045,096 1,022,548 511,274 255,637 766,912 383,456 191,728 95,864 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667

More profiles

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