220,896

2⁵ × 3² × 13 × 59

220,896 factors as 2^5 × 3^2 × 13 × 59. Its 72 positive divisors give a proper-divisor sum of 467,064, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 13 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 687,960

Proper Divisor Sum 467,064

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #220889 ← → #220897

Radix Representation

Decimal	220896
Binary	110101111011100000 (18 bits)
Octal	0o657340
Hexadecimal	0x35EE0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 59 72 78 96 104 117 118 144 156 177 208 234 236 288 312 354 416 468 472 531 624 708 767 936 944 1,062 1,248 1,416 1,534 1,872 1,888 2,124 2,301 2,832 3,068 3,744 4,248 4,602 5,664 6,136 6,903 8,496

Collatz Trajectory (62 steps to reach 1)

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

220,896 110,448 55,224 27,612 13,806 6,903 20,710 10,355 31,066 15,533 46,600 23,300 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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