λ
Integer Codex

6,810,011

13 × 523847
Deficient Odd Composite

For 6,810,011, the 4 positive divisors have a total of 7,333,872. Removing 6,810,011 leaves 523,861, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 523847
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,333,872
Proper Divisor Sum 523,861
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #6809989 ← → #6810019

Radix Representation

Decimal 6810011
Binary 11001111110100110011011 (23 bits)
Octal 0o31764633
Hexadecimal 0x67E99B

Divisor Catalog (4)

1 13 523,847 6,810,011

Collatz Trajectory (214 steps to reach 1)

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

6,810,011 20,430,034 10,215,017 30,645,052 15,322,526 7,661,263 22,983,790 11,491,895 34,475,686 17,237,843 51,713,530 25,856,765 77,570,296 38,785,148 19,392,574 9,696,287 29,088,862 14,544,431 43,633,294 21,816,647 65,449,942 32,724,971 98,174,914 49,087,457 147,262,372 73,631,186 36,815,593 110,446,780 55,223,390 27,611,695 82,835,086 41,417,543 124,252,630 62,126,315 186,378,946 93,189,473 279,568,420 139,784,210 69,892,105 209,676,316 104,838,158 52,419,079 157,257,238 78,628,619 235,885,858 117,942,929 353,828,788 176,914,394 88,457,197 265,371,592 132,685,796 66,342,898 33,171,449 99,514,348 49,757,174 24,878,587 74,635,762 37,317,881 111,953,644 55,976,822

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