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Atlas › Integer Profiles › Node 34,836,723

34,836,723

37 × 17 × 937
Deficient Odd Composite

34,836,723 factors as 3^7 × 17 × 937. Its 32 positive divisors give a proper-divisor sum of 20,542,797, so this integer is deficient. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 3^7 × 17 × 937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,379,520
Proper Divisor Sum 20,542,797
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #34836719 ← → #34836731

Radix Representation

Decimal 34836723
Binary 10000100111001000011110011 (26 bits)
Octal 0o204710363
Hexadecimal 0x21390F3

Divisor Catalog (32)

1 3 9 17 27 51 81 153 243 459 729 937 1,377 2,187 2,811 4,131 8,433 12,393 15,929 25,299 37,179 47,787 75,897 143,361 227,691 430,083 683,073 1,290,249 2,049,219 3,870,747 11,612,241 34,836,723

Collatz Trajectory (245 steps to reach 1)

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

34,836,723 104,510,170 52,255,085 156,765,256 78,382,628 39,191,314 19,595,657 58,786,972 29,393,486 14,696,743 44,090,230 22,045,115 66,135,346 33,067,673 99,203,020 49,601,510 24,800,755 74,402,266 37,201,133 111,603,400 55,801,700 27,900,850 13,950,425 41,851,276 20,925,638 10,462,819 31,388,458 15,694,229 47,082,688 23,541,344 11,770,672 5,885,336 2,942,668 1,471,334 735,667 2,207,002 1,103,501 3,310,504 1,655,252 827,626 413,813 1,241,440 620,720 310,360 155,180 77,590 38,795 116,386 58,193 174,580 87,290 43,645 130,936 65,468 32,734 16,367 49,102 24,551 73,654 36,827

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