λ
Integer Codex

6,862,973

13 × 527921
Deficient Odd Composite

For 6,862,973, the 4 positive divisors have a total of 7,390,908. Removing 6,862,973 leaves 527,935, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 527921
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,390,908
Proper Divisor Sum 527,935
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6862969 ← → #6862979

Radix Representation

Decimal 6862973
Binary 11010001011100001111101 (23 bits)
Octal 0o32134175
Hexadecimal 0x68B87D

Divisor Catalog (4)

1 13 527,921 6,862,973

Collatz Trajectory (116 steps to reach 1)

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

6,862,973 20,588,920 10,294,460 5,147,230 2,573,615 7,720,846 3,860,423 11,581,270 5,790,635 17,371,906 8,685,953 26,057,860 13,028,930 6,514,465 19,543,396 9,771,698 4,885,849 14,657,548 7,328,774 3,664,387 10,993,162 5,496,581 16,489,744 8,244,872 4,122,436 2,061,218 1,030,609 3,091,828 1,545,914 772,957 2,318,872 1,159,436 579,718 289,859 869,578 434,789 1,304,368 652,184 326,092 163,046 81,523 244,570 122,285 366,856 183,428 91,714 45,857 137,572 68,786 34,393 103,180 51,590 25,795 77,386 38,693 116,080 58,040 29,020 14,510 7,255

More profiles

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