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Atlas › Integer Profiles › Node 34,017,752

34,017,752

23 × 192 × 11779
Deficient Even Composite

34,017,752 factors as 2^3 × 19^2 × 11779. Its 24 positive divisors give a proper-divisor sum of 33,304,948, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^3 × 19^2 × 11779
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 67,322,700
Proper Divisor Sum 33,304,948
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #34017751 ← → #34017769

Radix Representation

Decimal 34017752
Binary 10000001110001000111011000 (26 bits)
Octal 0o201610730
Hexadecimal 0x20711D8

Divisor Catalog (24)

1 2 4 8 19 38 76 152 361 722 1,444 2,888 11,779 23,558 47,116 94,232 223,801 447,602 895,204 1,790,408 4,252,219 8,504,438 17,008,876 34,017,752

Collatz Trajectory (77 steps to reach 1)

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

34,017,752 17,008,876 8,504,438 4,252,219 12,756,658 6,378,329 19,134,988 9,567,494 4,783,747 14,351,242 7,175,621 21,526,864 10,763,432 5,381,716 2,690,858 1,345,429 4,036,288 2,018,144 1,009,072 504,536 252,268 126,134 63,067 189,202 94,601 283,804 141,902 70,951 212,854 106,427 319,282 159,641 478,924 239,462 119,731 359,194 179,597 538,792 269,396 134,698 67,349 202,048 101,024 50,512 25,256 12,628 6,314 3,157 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28

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