3 × 7 × 17 × 37²

Prime Factor Structure

Factorization String 3 × 7 × 17 × 37^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 810,432

Proper Divisor Sum 321,699

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #488729 ← → #488743

1 3 7 17 21 37 51 111 119 259 357 629 777 1,369 1,887 4,107 4,403 9,583 13,209 23,273 28,749 69,819 162,911 488,733

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

488,733 1,466,200 733,100 366,550 183,275 549,826 274,913 824,740 412,370 206,185 618,556 309,278 154,639 463,918 231,959 695,878 347,939 1,043,818 521,909 1,565,728 782,864 391,432 195,716 97,858 48,929 146,788 73,394 36,697 110,092 55,046 27,523 82,570 41,285 123,856 61,928 30,964 15,482 7,741 23,224 11,612 5,806 2,903 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104

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