λ
Prime Ledger

5,825,753

5825753
Deficient Odd Prime

5,825,753 has the prime decomposition 5825753. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 5825753
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,825,754
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5825749 ← → #5825767

Radix Representation

Decimal 5825753
Binary 10110001110010011011001 (23 bits)
Octal 0o26162331
Hexadecimal 0x58E4D9

Divisor Catalog (2)

Collatz Trajectory (90 steps to reach 1)

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

5,825,753 17,477,260 8,738,630 4,369,315 13,107,946 6,553,973 19,661,920 9,830,960 4,915,480 2,457,740 1,228,870 614,435 1,843,306 921,653 2,764,960 1,382,480 691,240 345,620 172,810 86,405 259,216 129,608 64,804 32,402 16,201 48,604 24,302 12,151 36,454 18,227 54,682 27,341 82,024 41,012 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172

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