λ
Sigma Notebook

2,240,637

3 × 7 × 23 × 4639
Deficient Odd Composite

2,240,637 is odd and not a perfect square. Its factorization is 3 × 7 × 23 × 4639 and its 16 divisors sum to 3,563,520.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 4639
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,563,520
Proper Divisor Sum 1,322,883
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2240633 ← → #2240647

Radix Representation

Decimal 2240637
Binary 1000100011000001111101 (22 bits)
Octal 0o10430175
Hexadecimal 0x22307D

Divisor Catalog (16)

1 3 7 21 23 69 161 483 4,639 13,917 32,473 97,419 106,697 320,091 746,879 2,240,637

Collatz Trajectory (117 steps to reach 1)

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

2,240,637 6,721,912 3,360,956 1,680,478 840,239 2,520,718 1,260,359 3,781,078 1,890,539 5,671,618 2,835,809 8,507,428 4,253,714 2,126,857 6,380,572 3,190,286 1,595,143 4,785,430 2,392,715 7,178,146 3,589,073 10,767,220 5,383,610 2,691,805 8,075,416 4,037,708 2,018,854 1,009,427 3,028,282 1,514,141 4,542,424 2,271,212 1,135,606 567,803 1,703,410 851,705 2,555,116 1,277,558 638,779 1,916,338 958,169 2,874,508 1,437,254 718,627 2,155,882 1,077,941 3,233,824 1,616,912 808,456 404,228 202,114 101,057 303,172 151,586 75,793 227,380 113,690 56,845 170,536 85,268

More profiles

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