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Atlas › Integer Profiles › Node 673,335

673,335

32 × 5 × 13 × 1151
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 1151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,257,984
Proper Divisor Sum 584,649
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #673327 ← → #673339

Radix Representation

Decimal 673335
Binary 10100100011000110111 (20 bits)
Octal 0o2443067
Hexadecimal 0xA4637

Divisor Catalog (24)

1 3 5 9 13 15 39 45 65 117 195 585 1,151 3,453 5,755 10,359 14,963 17,265 44,889 51,795 74,815 134,667 224,445 673,335

Collatz Trajectory (273 steps to reach 1)

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

673,335 2,020,006 1,010,003 3,030,010 1,515,005 4,545,016 2,272,508 1,136,254 568,127 1,704,382 852,191 2,556,574 1,278,287 3,834,862 1,917,431 5,752,294 2,876,147 8,628,442 4,314,221 12,942,664 6,471,332 3,235,666 1,617,833 4,853,500 2,426,750 1,213,375 3,640,126 1,820,063 5,460,190 2,730,095 8,190,286 4,095,143 12,285,430 6,142,715 18,428,146 9,214,073 27,642,220 13,821,110 6,910,555 20,731,666 10,365,833 31,097,500 15,548,750 7,774,375 23,323,126 11,661,563 34,984,690 17,492,345 52,477,036 26,238,518 13,119,259 39,357,778 19,678,889 59,036,668 29,518,334 14,759,167 44,277,502 22,138,751 66,416,254 33,208,127

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