λ
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Atlas › Integer Profiles › Node 3,296,013

3,296,013

3 × 7 × 31 × 61 × 83
Deficient Odd Composite

3,296,013 factors as 3 × 7 × 31 × 61 × 83. Its 32 positive divisors give a proper-divisor sum of 2,036,979, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 3 × 7 × 31 × 61 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,332,992
Proper Divisor Sum 2,036,979
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3296003 ← → #3296021

Radix Representation

Decimal 3296013
Binary 1100100100101100001101 (22 bits)
Octal 0o14445415
Hexadecimal 0x324B0D

Divisor Catalog (32)

1 3 7 21 31 61 83 93 183 217 249 427 581 651 1,281 1,743 1,891 2,573 5,063 5,673 7,719 13,237 15,189 18,011 35,441 39,711 54,033 106,323 156,953 470,859 1,098,671 3,296,013

Collatz Trajectory (221 steps to reach 1)

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

3,296,013 9,888,040 4,944,020 2,472,010 1,236,005 3,708,016 1,854,008 927,004 463,502 231,751 695,254 347,627 1,042,882 521,441 1,564,324 782,162 391,081 1,173,244 586,622 293,311 879,934 439,967 1,319,902 659,951 1,979,854 989,927 2,969,782 1,484,891 4,454,674 2,227,337 6,682,012 3,341,006 1,670,503 5,011,510 2,505,755 7,517,266 3,758,633 11,275,900 5,637,950 2,818,975 8,456,926 4,228,463 12,685,390 6,342,695 19,028,086 9,514,043 28,542,130 14,271,065 42,813,196 21,406,598 10,703,299 32,109,898 16,054,949 48,164,848 24,082,424 12,041,212 6,020,606 3,010,303 9,030,910 4,515,455

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