λ
Harmonic Matrix

545,684

22 × 136421
Deficient Even Composite

545,684 has digital root 5. The neighboring primes are 545663 and 545711; its proper-divisor sum differs from the starting integer by -136,414.

Prime Factor Structure

Factorization String 2^2 × 136421
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 954,954
Proper Divisor Sum 409,270
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #545663 ← → #545711

Radix Representation

Decimal 545684
Binary 10000101001110010100 (20 bits)
Octal 0o2051624
Hexadecimal 0x85394

Divisor Catalog (6)

1 2 4 136,421 272,842 545,684

Collatz Trajectory (177 steps to reach 1)

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

545,684 272,842 136,421 409,264 204,632 102,316 51,158 25,579 76,738 38,369 115,108 57,554 28,777 86,332 43,166 21,583 64,750 32,375 97,126 48,563 145,690 72,845 218,536 109,268 54,634 27,317 81,952 40,976 20,488 10,244 5,122 2,561 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580

More profiles

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