λ
Math Directory

5,184,531

32 × 11 × 52369
Deficient Odd Composite

5,184,531 factors as 3^2 × 11 × 52369. Its 12 positive divisors give a proper-divisor sum of 2,985,189, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 52369
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,169,720
Proper Divisor Sum 2,985,189
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5184497 ← → #5184539

Radix Representation

Decimal 5184531
Binary 10011110001110000010011 (23 bits)
Octal 0o23616023
Hexadecimal 0x4F1C13

Divisor Catalog (12)

1 3 9 11 33 99 52,369 157,107 471,321 576,059 1,728,177 5,184,531

Collatz Trajectory (219 steps to reach 1)

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

5,184,531 15,553,594 7,776,797 23,330,392 11,665,196 5,832,598 2,916,299 8,748,898 4,374,449 13,123,348 6,561,674 3,280,837 9,842,512 4,921,256 2,460,628 1,230,314 615,157 1,845,472 922,736 461,368 230,684 115,342 57,671 173,014 86,507 259,522 129,761 389,284 194,642 97,321 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694 246,347 739,042 369,521 1,108,564 554,282 277,141 831,424 415,712 207,856 103,928 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314

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