405,925

5² × 13 × 1249

405,925 has the prime decomposition 5^2 × 13 × 1249. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13 × 1249

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 542,500

Proper Divisor Sum 136,575

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #405917 ← → #405947

Radix Representation

Decimal	405925
Binary	1100011000110100101 (19 bits)
Octal	0o1430645
Hexadecimal	0x631A5

Divisor Catalog (12)

1 5 13 25 65 325 1,249 6,245 16,237 31,225 81,185 405,925

Collatz Trajectory (205 steps to reach 1)

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

405,925 1,217,776 608,888 304,444 152,222 76,111 228,334 114,167 342,502 171,251 513,754 256,877 770,632 385,316 192,658 96,329 288,988 144,494 72,247 216,742 108,371 325,114 162,557 487,672 243,836 121,918 60,959 182,878 91,439 274,318 137,159 411,478 205,739 617,218 308,609 925,828 462,914 231,457 694,372 347,186 173,593 520,780 260,390 130,195 390,586 195,293 585,880 292,940 146,470 73,235 219,706 109,853 329,560 164,780 82,390 41,195 123,586 61,793 185,380 92,690

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