λ
Sigma Notebook

2,759,638

2 × 7 × 197117
Deficient Even Composite

2,759,638 is even and not a perfect square. Its factorization is 2 × 7 × 197117 and its 8 divisors sum to 4,730,832.

Prime Factor Structure

Factorization String 2 × 7 × 197117
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,730,832
Proper Divisor Sum 1,971,194
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2759621 ← → #2759677

Radix Representation

Decimal 2759638
Binary 1010100001101111010110 (22 bits)
Octal 0o12415726
Hexadecimal 0x2A1BD6

Divisor Catalog (8)

1 2 7 14 197,117 394,234 1,379,819 2,759,638

Collatz Trajectory (112 steps to reach 1)

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

2,759,638 1,379,819 4,139,458 2,069,729 6,209,188 3,104,594 1,552,297 4,656,892 2,328,446 1,164,223 3,492,670 1,746,335 5,239,006 2,619,503 7,858,510 3,929,255 11,787,766 5,893,883 17,681,650 8,840,825 26,522,476 13,261,238 6,630,619 19,891,858 9,945,929 29,837,788 14,918,894 7,459,447 22,378,342 11,189,171 33,567,514 16,783,757 50,351,272 25,175,636 12,587,818 6,293,909 18,881,728 9,440,864 4,720,432 2,360,216 1,180,108 590,054 295,027 885,082 442,541 1,327,624 663,812 331,906 165,953 497,860 248,930 124,465 373,396 186,698 93,349 280,048 140,024 70,012 35,006 17,503

More profiles

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