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Atlas › Integer Profiles › Node 80,925

80,925

3 × 52 × 13 × 83
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 145,824
Proper Divisor Sum 64,899
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #80923 ← → #80929

Radix Representation

Decimal 80925
Binary 10011110000011101 (17 bits)
Octal 0o236035
Hexadecimal 0x13C1D

Divisor Catalog (24)

1 3 5 13 15 25 39 65 75 83 195 249 325 415 975 1,079 1,245 2,075 3,237 5,395 6,225 16,185 26,975 80,925

Collatz Trajectory (138 steps to reach 1)

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

80,925 242,776 121,388 60,694 30,347 91,042 45,521 136,564 68,282 34,141 102,424 51,212 25,606 12,803 38,410 19,205 57,616 28,808 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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