λ
Harmonic Matrix

545,625

32 × 54 × 97
Deficient Odd Composite

545,625 has digital root 9. The neighboring primes are 545621 and 545641; its proper-divisor sum differs from the starting integer by -96,256.

Prime Factor Structure

Factorization String 3^2 × 5^4 × 97
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 994,994
Proper Divisor Sum 449,369
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #545621 ← → #545641

Radix Representation

Decimal 545625
Binary 10000101001101011001 (20 bits)
Octal 0o2051531
Hexadecimal 0x85359

Divisor Catalog (30)

1 3 5 9 15 25 45 75 97 125 225 291 375 485 625 873 1,125 1,455 1,875 2,425 4,365 5,625 7,275 12,125 21,825 36,375 60,625 109,125 181,875 545,625

Collatz Trajectory (177 steps to reach 1)

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

545,625 1,636,876 818,438 409,219 1,227,658 613,829 1,841,488 920,744 460,372 230,186 115,093 345,280 172,640 86,320 43,160 21,580 10,790 5,395 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 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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