λ
Harmonic Matrix

3,611,925

33 × 52 × 5351
Deficient Odd Composite

3,611,925 has digital root 9. The neighboring primes are 3611893 and 3611941; its proper-divisor sum differs from the starting integer by -587,370.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 5351
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,636,480
Proper Divisor Sum 3,024,555
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3611893 ← → #3611941

Radix Representation

Decimal 3611925
Binary 1101110001110100010101 (22 bits)
Octal 0o15616425
Hexadecimal 0x371D15

Divisor Catalog (24)

1 3 5 9 15 25 27 45 75 135 225 675 5,351 16,053 26,755 48,159 80,265 133,775 144,477 240,795 401,325 722,385 1,203,975 3,611,925

Collatz Trajectory (115 steps to reach 1)

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

3,611,925 10,835,776 5,417,888 2,708,944 1,354,472 677,236 338,618 169,309 507,928 253,964 126,982 63,491 190,474 95,237 285,712 142,856 71,428 35,714 17,857 53,572 26,786 13,393 40,180 20,090 10,045 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637

More profiles

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