λ
Harmonic Matrix

1,725,908

22 × 172 × 1493
Deficient Even Composite

1,725,908 has digital root 5. The neighboring primes are 1725907 and 1725923; its proper-divisor sum differs from the starting integer by -241,210.

Prime Factor Structure

Factorization String 2^2 × 17^2 × 1493
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 3,210,606
Proper Divisor Sum 1,484,698
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1725907 ← → #1725923

Radix Representation

Decimal 1725908
Binary 110100101010111010100 (21 bits)
Octal 0o6452724
Hexadecimal 0x1A55D4

Divisor Catalog (18)

1 2 4 17 34 68 289 578 1,156 1,493 2,986 5,972 25,381 50,762 101,524 431,477 862,954 1,725,908

Collatz Trajectory (52 steps to reach 1)

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

1,725,908 862,954 431,477 1,294,432 647,216 323,608 161,804 80,902 40,451 121,354 60,677 182,032 91,016 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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