λ
Sigma Notebook

2,978,495

5 × 13 × 45823
Deficient Odd Composite

2,978,495 is odd and not a perfect square. Its factorization is 5 × 13 × 45823 and its 8 divisors sum to 3,849,216.

Prime Factor Structure

Factorization String 5 × 13 × 45823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,849,216
Proper Divisor Sum 870,721
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #2978491 ← → #2978501

Radix Representation

Decimal 2978495
Binary 1011010111001010111111 (22 bits)
Octal 0o13271277
Hexadecimal 0x2D72BF

Divisor Catalog (8)

1 5 13 65 45,823 229,115 595,699 2,978,495

Collatz Trajectory (301 steps to reach 1)

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

2,978,495 8,935,486 4,467,743 13,403,230 6,701,615 20,104,846 10,052,423 30,157,270 15,078,635 45,235,906 22,617,953 67,853,860 33,926,930 16,963,465 50,890,396 25,445,198 12,722,599 38,167,798 19,083,899 57,251,698 28,625,849 85,877,548 42,938,774 21,469,387 64,408,162 32,204,081 96,612,244 48,306,122 24,153,061 72,459,184 36,229,592 18,114,796 9,057,398 4,528,699 13,586,098 6,793,049 20,379,148 10,189,574 5,094,787 15,284,362 7,642,181 22,926,544 11,463,272 5,731,636 2,865,818 1,432,909 4,298,728 2,149,364 1,074,682 537,341 1,612,024 806,012 403,006 201,503 604,510 302,255 906,766 453,383 1,360,150 680,075

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