5,127,921

3³ × 257 × 739

5,127,921 has the prime decomposition 3^3 × 257 × 739. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 257 × 739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,636,800

Proper Divisor Sum 2,508,879

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5127917 ← → #5127943

Radix Representation

Decimal	5127921
Binary	10011100011111011110001 (23 bits)
Octal	0o23437361
Hexadecimal	0x4E3EF1

Divisor Catalog (16)

1 3 9 27 257 739 771 2,217 2,313 6,651 6,939 19,953 189,923 569,769 1,709,307 5,127,921

Collatz Trajectory (175 steps to reach 1)

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

5,127,921 15,383,764 7,691,882 3,845,941 11,537,824 5,768,912 2,884,456 1,442,228 721,114 360,557 1,081,672 540,836 270,418 135,209 405,628 202,814 101,407 304,222 152,111 456,334 228,167 684,502 342,251 1,026,754 513,377 1,540,132 770,066 385,033 1,155,100 577,550 288,775 866,326 433,163 1,299,490 649,745 1,949,236 974,618 487,309 1,461,928 730,964 365,482 182,741 548,224 274,112 137,056 68,528 34,264 17,132 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422

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