36,519

3 × 7 × 37 × 47

36,519 factors as 3 × 7 × 37 × 47. Its 16 positive divisors give a proper-divisor sum of 21,849, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 58,368

Proper Divisor Sum 21,849

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #36497 ← → #36523

Radix Representation

Decimal	36519
Binary	1000111010100111 (16 bits)
Octal	0o107247
Hexadecimal	0x8EA7

Divisor Catalog (16)

1 3 7 21 37 47 111 141 259 329 777 987 1,739 5,217 12,173 36,519

Collatz Trajectory (67 steps to reach 1)

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

36,519 109,558 54,779 164,338 82,169 246,508 123,254 61,627 184,882 92,441 277,324 138,662 69,331 207,994 103,997 311,992 155,996 77,998 38,999 116,998 58,499 175,498 87,749 263,248 131,624 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40

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