λ
Sigma Notebook

2,537,013

3 × 19 × 47 × 947
Deficient Odd Composite

2,537,013 is odd and not a perfect square. Its factorization is 3 × 19 × 47 × 947 and its 16 divisors sum to 3,640,320.

Prime Factor Structure

Factorization String 3 × 19 × 47 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,640,320
Proper Divisor Sum 1,103,307
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2536999 ← → #2537021

Radix Representation

Decimal 2537013
Binary 1001101011011000110101 (22 bits)
Octal 0o11533065
Hexadecimal 0x26B635

Divisor Catalog (16)

1 3 19 47 57 141 893 947 2,679 2,841 17,993 44,509 53,979 133,527 845,671 2,537,013

Collatz Trajectory (50 steps to reach 1)

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

2,537,013 7,611,040 3,805,520 1,902,760 951,380 475,690 237,845 713,536 356,768 178,384 89,192 44,596 22,298 11,149 33,448 16,724 8,362 4,181 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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