λ
Sigma Notebook

2,611,126

2 × 7 × 41 × 4549
Deficient Even Composite

2,611,126 is even and not a perfect square. Its factorization is 2 × 7 × 41 × 4549 and its 16 divisors sum to 4,586,400.

Prime Factor Structure

Factorization String 2 × 7 × 41 × 4549
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,586,400
Proper Divisor Sum 1,975,274
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2611123 ← → #2611139

Radix Representation

Decimal 2611126
Binary 1001111101011110110110 (22 bits)
Octal 0o11753666
Hexadecimal 0x27D7B6

Divisor Catalog (16)

1 2 7 14 41 82 287 574 4,549 9,098 31,843 63,686 186,509 373,018 1,305,563 2,611,126

Collatz Trajectory (81 steps to reach 1)

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

2,611,126 1,305,563 3,916,690 1,958,345 5,875,036 2,937,518 1,468,759 4,406,278 2,203,139 6,609,418 3,304,709 9,914,128 4,957,064 2,478,532 1,239,266 619,633 1,858,900 929,450 464,725 1,394,176 697,088 348,544 174,272 87,136 43,568 21,784 10,892 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77

More profiles

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