λ
Harmonic Matrix

2,164,759

37 × 41 × 1427
Deficient Odd Composite

2,164,759 has digital root 7. The neighboring primes are 2164739 and 2164787; its proper-divisor sum differs from the starting integer by -2,050,430.

Prime Factor Structure

Factorization String 37 × 41 × 1427
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,279,088
Proper Divisor Sum 114,329
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2164739 ← → #2164787

Radix Representation

Decimal 2164759
Binary 1000010000100000010111 (22 bits)
Octal 0o10204027
Hexadecimal 0x210817

Divisor Catalog (8)

1 37 41 1,427 1,517 52,799 58,507 2,164,759

Collatz Trajectory (210 steps to reach 1)

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

2,164,759 6,494,278 3,247,139 9,741,418 4,870,709 14,612,128 7,306,064 3,653,032 1,826,516 913,258 456,629 1,369,888 684,944 342,472 171,236 85,618 42,809 128,428 64,214 32,107 96,322 48,161 144,484 72,242 36,121 108,364 54,182 27,091 81,274 40,637 121,912 60,956 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434 25,717 77,152 38,576 19,288 9,644 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290

More profiles

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