215,025

3 × 5² × 47 × 61

215,025 has digital root 6. The neighboring primes are 214993 and 215051; its proper-divisor sum differs from the starting integer by -61,026.

Prime Factor Structure

Factorization String 3 × 5^2 × 47 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 369,024

Proper Divisor Sum 153,999

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #214993 ← → #215051

Radix Representation

Decimal	215025
Binary	110100011111110001 (18 bits)
Octal	0o643761
Hexadecimal	0x347F1

Divisor Catalog (24)

1 3 5 15 25 47 61 75 141 183 235 305 705 915 1,175 1,525 2,867 3,525 4,575 8,601 14,335 43,005 71,675 215,025

Collatz Trajectory (142 steps to reach 1)

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

215,025 645,076 322,538 161,269 483,808 241,904 120,952 60,476 30,238 15,119 45,358 22,679 68,038 34,019 102,058 51,029 153,088 76,544 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233

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