5,456,025

3³ × 5² × 59 × 137

5,456,025 is odd and not a perfect square. Its factorization is 3^3 × 5^2 × 59 × 137 and its 48 divisors sum to 10,267,200.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 59 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,267,200

Proper Divisor Sum 4,811,175

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5455951 ← → #5456027

Radix Representation

Decimal	5456025
Binary	10100110100000010011001 (23 bits)
Octal	0o24640231
Hexadecimal	0x534099

Divisor Catalog (48)

1 3 5 9 15 25 27 45 59 75 135 137 177 225 295 411 531 675 685 885 1,233 1,475 1,593 2,055 2,655 3,425 3,699 4,425 6,165 7,965 8,083 10,275 13,275 18,495 24,249 30,825 39,825 40,415 72,747 92,475 121,245 202,075 218,241 363,735 606,225 1,091,205 1,818,675 5,456,025

Collatz Trajectory (108 steps to reach 1)

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

5,456,025 16,368,076 8,184,038 4,092,019 12,276,058 6,138,029 18,414,088 9,207,044 4,603,522 2,301,761 6,905,284 3,452,642 1,726,321 5,178,964 2,589,482 1,294,741 3,884,224 1,942,112 971,056 485,528 242,764 121,382 60,691 182,074 91,037 273,112 136,556 68,278 34,139 102,418 51,209 153,628 76,814 38,407 115,222 57,611 172,834 86,417 259,252 129,626 64,813 194,440 97,220 48,610 24,305 72,916 36,458 18,229 54,688 27,344 13,672 6,836 3,418 1,709 5,128 2,564 1,282 641 1,924 962

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