5,311,125

3² × 5³ × 4721

5,311,125 factors as 3^2 × 5^3 × 4721. Its 24 positive divisors give a proper-divisor sum of 4,265,091, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 4721

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,576,216

Proper Divisor Sum 4,265,091

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5311067 ← → #5311129

Radix Representation

Decimal	5311125
Binary	10100010000101010010101 (23 bits)
Octal	0o24205225
Hexadecimal	0x510A95

Divisor Catalog (24)

1 3 5 9 15 25 45 75 125 225 375 1,125 4,721 14,163 23,605 42,489 70,815 118,025 212,445 354,075 590,125 1,062,225 1,770,375 5,311,125

Collatz Trajectory (126 steps to reach 1)

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

5,311,125 15,933,376 7,966,688 3,983,344 1,991,672 995,836 497,918 248,959 746,878 373,439 1,120,318 560,159 1,680,478 840,239 2,520,718 1,260,359 3,781,078 1,890,539 5,671,618 2,835,809 8,507,428 4,253,714 2,126,857 6,380,572 3,190,286 1,595,143 4,785,430 2,392,715 7,178,146 3,589,073 10,767,220 5,383,610 2,691,805 8,075,416 4,037,708 2,018,854 1,009,427 3,028,282 1,514,141 4,542,424 2,271,212 1,135,606 567,803 1,703,410 851,705 2,555,116 1,277,558 638,779 1,916,338 958,169 2,874,508 1,437,254 718,627 2,155,882 1,077,941 3,233,824 1,616,912 808,456 404,228 202,114

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