212,487

3 × 11 × 47 × 137

212,487 factors as 3 × 11 × 47 × 137. Its 16 positive divisors give a proper-divisor sum of 105,465, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 3 × 11 × 47 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 317,952

Proper Divisor Sum 105,465

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #212479 ← → #212501

Radix Representation

Decimal	212487
Binary	110011111000000111 (18 bits)
Octal	0o637007
Hexadecimal	0x33E07

Divisor Catalog (16)

1 3 11 33 47 137 141 411 517 1,507 1,551 4,521 6,439 19,317 70,829 212,487

Collatz Trajectory (80 steps to reach 1)

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

212,487 637,462 318,731 956,194 478,097 1,434,292 717,146 358,573 1,075,720 537,860 268,930 134,465 403,396 201,698 100,849 302,548 151,274 75,637 226,912 113,456 56,728 28,364 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38

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