λ
Sigma Notebook

2,992,605

3 × 5 × 7 × 11 × 2591
Deficient Odd Composite

2,992,605 is odd and not a perfect square. Its factorization is 3 × 5 × 7 × 11 × 2591 and its 32 divisors sum to 5,971,968.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 2591
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,971,968
Proper Divisor Sum 2,979,363
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2992589 ← → #2992607

Radix Representation

Decimal 2992605
Binary 1011011010100111011101 (22 bits)
Octal 0o13324735
Hexadecimal 0x2DA9DD

Divisor Catalog (32)

1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1,155 2,591 7,773 12,955 18,137 28,501 38,865 54,411 85,503 90,685 142,505 199,507 272,055 427,515 598,521 997,535 2,992,605

Collatz Trajectory (89 steps to reach 1)

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

2,992,605 8,977,816 4,488,908 2,244,454 1,122,227 3,366,682 1,683,341 5,050,024 2,525,012 1,262,506 631,253 1,893,760 946,880 473,440 236,720 118,360 59,180 29,590 14,795 44,386 22,193 66,580 33,290 16,645 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89

More profiles

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