λ
Harmonic Matrix

41,437

11 × 3767
Deficient Odd Composite

41,437 has digital root 1. The neighboring primes are 41413 and 41443; its proper-divisor sum differs from the starting integer by -37,658.

Prime Factor Structure

Factorization String 11 × 3767
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 45,216
Proper Divisor Sum 3,779
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #41413 ← → #41443

Radix Representation

Decimal 41437
Binary 1010000111011101 (16 bits)
Octal 0o120735
Hexadecimal 0xA1DD

Divisor Catalog (4)

1 11 3,767 41,437

Collatz Trajectory (119 steps to reach 1)

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

41,437 124,312 62,156 31,078 15,539 46,618 23,309 69,928 34,964 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860

More profiles

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