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Atlas › Integer Profiles › Node 58,789,633

58,789,633

7 × 23 × 37 × 71 × 139
Deficient Odd Composite

58,789,633 factors as 7 × 23 × 37 × 71 × 139. Its 32 positive divisors give a proper-divisor sum of 14,754,047, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 7 × 23 × 37 × 71 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 73,543,680
Proper Divisor Sum 14,754,047
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #58789631 ← → #58789637

Radix Representation

Decimal 58789633
Binary 11100000010000111100000001 (26 bits)
Octal 0o340207401
Hexadecimal 0x3810F01

Divisor Catalog (32)

1 7 23 37 71 139 161 259 497 851 973 1,633 2,627 3,197 5,143 5,957 9,869 11,431 18,389 22,379 36,001 60,421 69,083 118,289 226,987 365,153 422,947 828,023 1,588,909 2,556,071 8,398,519 58,789,633

Collatz Trajectory (62 steps to reach 1)

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

58,789,633 176,368,900 88,184,450 44,092,225 132,276,676 66,138,338 33,069,169 99,207,508 49,603,754 24,801,877 74,405,632 37,202,816 18,601,408 9,300,704 4,650,352 2,325,176 1,162,588 581,294 290,647 871,942 435,971 1,307,914 653,957 1,961,872 980,936 490,468 245,234 122,617 367,852 183,926 91,963 275,890 137,945 413,836 206,918 103,459 310,378 155,189 465,568 232,784 116,392 58,196 29,098 14,549 43,648 21,824 10,912 5,456 2,728 1,364 682 341 1,024 512 256 128 64 32 16 8

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