λ
Sigma Notebook

3,494,127

3 × 7 × 13 × 12799
Deficient Odd Composite

3,494,127 is odd and not a perfect square. Its factorization is 3 × 7 × 13 × 12799 and its 16 divisors sum to 5,734,400.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 12799
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,734,400
Proper Divisor Sum 2,240,273
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3494107 ← → #3494149

Radix Representation

Decimal 3494127
Binary 1101010101000011101111 (22 bits)
Octal 0o15250357
Hexadecimal 0x3550EF

Divisor Catalog (16)

1 3 7 13 21 39 91 273 12,799 38,397 89,593 166,387 268,779 499,161 1,164,709 3,494,127

Collatz Trajectory (389 steps to reach 1)

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

3,494,127 10,482,382 5,241,191 15,723,574 7,861,787 23,585,362 11,792,681 35,378,044 17,689,022 8,844,511 26,533,534 13,266,767 39,800,302 19,900,151 59,700,454 29,850,227 89,550,682 44,775,341 134,326,024 67,163,012 33,581,506 16,790,753 50,372,260 25,186,130 12,593,065 37,779,196 18,889,598 9,444,799 28,334,398 14,167,199 42,501,598 21,250,799 63,752,398 31,876,199 95,628,598 47,814,299 143,442,898 71,721,449 215,164,348 107,582,174 53,791,087 161,373,262 80,686,631 242,059,894 121,029,947 363,089,842 181,544,921 544,634,764 272,317,382 136,158,691 408,476,074 204,238,037 612,714,112 306,357,056 153,178,528 76,589,264 38,294,632 19,147,316 9,573,658 4,786,829

More profiles

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