15,212

2² × 3803

15,212 is even and not a perfect square. Its factorization is 2^2 × 3803 and its 6 divisors sum to 26,628.

Prime Factor Structure

Factorization String 2^2 × 3803

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 26,628

Proper Divisor Sum 11,416

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #15199 ← → #15217

Radix Representation

Decimal	15212
Binary	11101101101100 (14 bits)
Octal	0o35554
Hexadecimal	0x3B6C

Divisor Catalog (6)

1 2 4 3,803 7,606 15,212

Collatz Trajectory (84 steps to reach 1)

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

15,212 7,606 3,803 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98

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