212,503

41 × 71 × 73

212,503 factors as 41 × 71 × 73. Its 8 positive divisors give a proper-divisor sum of 11,273, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 41 × 71 × 73

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 223,776

Proper Divisor Sum 11,273

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #212501 ← → #212507

Radix Representation

Decimal	212503
Binary	110011111000010111 (18 bits)
Octal	0o637027
Hexadecimal	0x33E17

Divisor Catalog (8)

1 41 71 73 2,911 2,993 5,183 212,503

Collatz Trajectory (173 steps to reach 1)

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

212,503 637,510 318,755 956,266 478,133 1,434,400 717,200 358,600 179,300 89,650 44,825 134,476 67,238 33,619 100,858 50,429 151,288 75,644 37,822 18,911 56,734 28,367 85,102 42,551 127,654 63,827 191,482 95,741 287,224 143,612 71,806 35,903 107,710 53,855 161,566 80,783 242,350 121,175 363,526 181,763 545,290 272,645 817,936 408,968 204,484 102,242 51,121 153,364 76,682 38,341 115,024 57,512 28,756 14,378 7,189 21,568 10,784 5,392 2,696 1,348

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