λ
Harmonic Matrix

2,437,787

112 × 20147
Deficient Odd Composite

2,437,787 has digital root 2. The neighboring primes are 2437777 and 2437847; its proper-divisor sum differs from the starting integer by -2,195,890.

Prime Factor Structure

Factorization String 11^2 × 20147
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,679,684
Proper Divisor Sum 241,897
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2437777 ← → #2437847

Radix Representation

Decimal 2437787
Binary 1001010011001010011011 (22 bits)
Octal 0o11231233
Hexadecimal 0x25329B

Divisor Catalog (6)

1 11 121 20,147 221,617 2,437,787

Collatz Trajectory (205 steps to reach 1)

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

2,437,787 7,313,362 3,656,681 10,970,044 5,485,022 2,742,511 8,227,534 4,113,767 12,341,302 6,170,651 18,511,954 9,255,977 27,767,932 13,883,966 6,941,983 20,825,950 10,412,975 31,238,926 15,619,463 46,858,390 23,429,195 70,287,586 35,143,793 105,431,380 52,715,690 26,357,845 79,073,536 39,536,768 19,768,384 9,884,192 4,942,096 2,471,048 1,235,524 617,762 308,881 926,644 463,322 231,661 694,984 347,492 173,746 86,873 260,620 130,310 65,155 195,466 97,733 293,200 146,600 73,300 36,650 18,325 54,976 27,488 13,744 6,872 3,436 1,718 859 2,578

More profiles

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