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Atlas › Integer Profiles › Node 3,099,005

3,099,005

5 × 73 × 13 × 139
Deficient Odd Composite

3,099,005 factors as 5 × 7^3 × 13 × 139. Its 32 positive divisors give a proper-divisor sum of 1,604,995, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 5 × 7^3 × 13 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,704,000
Proper Divisor Sum 1,604,995
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3098999 ← → #3099011

Radix Representation

Decimal 3099005
Binary 1011110100100101111101 (22 bits)
Octal 0o13644575
Hexadecimal 0x2F497D

Divisor Catalog (32)

1 5 7 13 35 49 65 91 139 245 343 455 637 695 973 1,715 1,807 3,185 4,459 4,865 6,811 9,035 12,649 22,295 34,055 47,677 63,245 88,543 238,385 442,715 619,801 3,099,005

Collatz Trajectory (151 steps to reach 1)

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

3,099,005 9,297,016 4,648,508 2,324,254 1,162,127 3,486,382 1,743,191 5,229,574 2,614,787 7,844,362 3,922,181 11,766,544 5,883,272 2,941,636 1,470,818 735,409 2,206,228 1,103,114 551,557 1,654,672 827,336 413,668 206,834 103,417 310,252 155,126 77,563 232,690 116,345 349,036 174,518 87,259 261,778 130,889 392,668 196,334 98,167 294,502 147,251 441,754 220,877 662,632 331,316 165,658 82,829 248,488 124,244 62,122 31,061 93,184 46,592 23,296 11,648 5,824 2,912 1,456 728 364 182 91

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