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Atlas › Integer Profiles › Node 4,589,085

4,589,085

3 × 5 × 31 × 71 × 139
Deficient Odd Composite

4,589,085 factors as 3 × 5 × 31 × 71 × 139. Its 32 positive divisors give a proper-divisor sum of 3,152,355, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 71 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,741,440
Proper Divisor Sum 3,152,355
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4589083 ← → #4589093

Radix Representation

Decimal 4589085
Binary 10001100000011000011101 (23 bits)
Octal 0o21403035
Hexadecimal 0x46061D

Divisor Catalog (32)

1 3 5 15 31 71 93 139 155 213 355 417 465 695 1,065 2,085 2,201 4,309 6,603 9,869 11,005 12,927 21,545 29,607 33,015 49,345 64,635 148,035 305,939 917,817 1,529,695 4,589,085

Collatz Trajectory (131 steps to reach 1)

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

4,589,085 13,767,256 6,883,628 3,441,814 1,720,907 5,162,722 2,581,361 7,744,084 3,872,042 1,936,021 5,808,064 2,904,032 1,452,016 726,008 363,004 181,502 90,751 272,254 136,127 408,382 204,191 612,574 306,287 918,862 459,431 1,378,294 689,147 2,067,442 1,033,721 3,101,164 1,550,582 775,291 2,325,874 1,162,937 3,488,812 1,744,406 872,203 2,616,610 1,308,305 3,924,916 1,962,458 981,229 2,943,688 1,471,844 735,922 367,961 1,103,884 551,942 275,971 827,914 413,957 1,241,872 620,936 310,468 155,234 77,617 232,852 116,426 58,213 174,640

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