λ
Integer Codex

5,801,751

32 × 53 × 12163
Deficient Odd Composite

For 5,801,751, the 12 positive divisors have a total of 8,539,128. Removing 5,801,751 leaves 2,737,377, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 53 × 12163
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,539,128
Proper Divisor Sum 2,737,377
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5801749 ← → #5801753

Radix Representation

Decimal 5801751
Binary 10110001000011100010111 (23 bits)
Octal 0o26103427
Hexadecimal 0x588717

Divisor Catalog (12)

1 3 9 53 159 477 12,163 36,489 109,467 644,639 1,933,917 5,801,751

Collatz Trajectory (276 steps to reach 1)

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

5,801,751 17,405,254 8,702,627 26,107,882 13,053,941 39,161,824 19,580,912 9,790,456 4,895,228 2,447,614 1,223,807 3,671,422 1,835,711 5,507,134 2,753,567 8,260,702 4,130,351 12,391,054 6,195,527 18,586,582 9,293,291 27,879,874 13,939,937 41,819,812 20,909,906 10,454,953 31,364,860 15,682,430 7,841,215 23,523,646 11,761,823 35,285,470 17,642,735 52,928,206 26,464,103 79,392,310 39,696,155 119,088,466 59,544,233 178,632,700 89,316,350 44,658,175 133,974,526 66,987,263 200,961,790 100,480,895 301,442,686 150,721,343 452,164,030 226,082,015 678,246,046 339,123,023 1,017,369,070 508,684,535 1,526,053,606 763,026,803 2,289,080,410 1,144,540,205 3,433,620,616 1,716,810,308

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