λ
Harmonic Matrix

2,528,357

13 × 43 × 4523
Deficient Odd Composite

2,528,357 has digital root 5. The neighboring primes are 2528353 and 2528371; its proper-divisor sum differs from the starting integer by -2,269,930.

Prime Factor Structure

Factorization String 13 × 43 × 4523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,786,784
Proper Divisor Sum 258,427
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2528353 ← → #2528371

Radix Representation

Decimal 2528357
Binary 1001101001010001100101 (22 bits)
Octal 0o11512145
Hexadecimal 0x269465

Divisor Catalog (8)

1 13 43 559 4,523 58,799 194,489 2,528,357

Collatz Trajectory (249 steps to reach 1)

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

2,528,357 7,585,072 3,792,536 1,896,268 948,134 474,067 1,422,202 711,101 2,133,304 1,066,652 533,326 266,663 799,990 399,995 1,199,986 599,993 1,799,980 899,990 449,995 1,349,986 674,993 2,024,980 1,012,490 506,245 1,518,736 759,368 379,684 189,842 94,921 284,764 142,382 71,191 213,574 106,787 320,362 160,181 480,544 240,272 120,136 60,068 30,034 15,017 45,052 22,526 11,263 33,790 16,895 50,686 25,343 76,030 38,015 114,046 57,023 171,070 85,535 256,606 128,303 384,910 192,455 577,366

More profiles

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