λ
Harmonic Matrix

2,438,633

17 × 37 × 3877
Deficient Odd Composite

2,438,633 has digital root 2. The neighboring primes are 2438629 and 2438671; its proper-divisor sum differs from the starting integer by -2,224,714.

Prime Factor Structure

Factorization String 17 × 37 × 3877
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,652,552
Proper Divisor Sum 213,919
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2438629 ← → #2438671

Radix Representation

Decimal 2438633
Binary 1001010011010111101001 (22 bits)
Octal 0o11232751
Hexadecimal 0x2535E9

Divisor Catalog (8)

1 17 37 629 3,877 65,909 143,449 2,438,633

Collatz Trajectory (218 steps to reach 1)

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

2,438,633 7,315,900 3,657,950 1,828,975 5,486,926 2,743,463 8,230,390 4,115,195 12,345,586 6,172,793 18,518,380 9,259,190 4,629,595 13,888,786 6,944,393 20,833,180 10,416,590 5,208,295 15,624,886 7,812,443 23,437,330 11,718,665 35,155,996 17,577,998 8,788,999 26,366,998 13,183,499 39,550,498 19,775,249 59,325,748 29,662,874 14,831,437 44,494,312 22,247,156 11,123,578 5,561,789 16,685,368 8,342,684 4,171,342 2,085,671 6,257,014 3,128,507 9,385,522 4,692,761 14,078,284 7,039,142 3,519,571 10,558,714 5,279,357 15,838,072 7,919,036 3,959,518 1,979,759 5,939,278 2,969,639 8,908,918 4,454,459 13,363,378 6,681,689 20,045,068

More profiles

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