28,743

3 × 11 × 13 × 67

28,743 factors as 3 × 11 × 13 × 67. Its 16 positive divisors give a proper-divisor sum of 16,953, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 45,696

Proper Divisor Sum 16,953

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #28729 ← → #28751

Radix Representation

Decimal	28743
Binary	111000001000111 (15 bits)
Octal	0o70107
Hexadecimal	0x7047

Divisor Catalog (16)

1 3 11 13 33 39 67 143 201 429 737 871 2,211 2,613 9,581 28,743

Collatz Trajectory (152 steps to reach 1)

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

28,743 86,230 43,115 129,346 64,673 194,020 97,010 48,505 145,516 72,758 36,379 109,138 54,569 163,708 81,854 40,927 122,782 61,391 184,174 92,087 276,262 138,131 414,394 207,197 621,592 310,796 155,398 77,699 233,098 116,549 349,648 174,824 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096

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