25,754,475

3 × 5² × 343393

25,754,475 factors as 3 × 5^2 × 343393. Its 12 positive divisors give a proper-divisor sum of 16,826,381, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 343393

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 42,580,856

Proper Divisor Sum 16,826,381

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #25754471 ← → #25754483

Radix Representation

Decimal	25754475
Binary	1100010001111101101101011 (25 bits)
Octal	0o142175553
Hexadecimal	0x188FB6B

Divisor Catalog (12)

1 3 5 15 25 75 343,393 1,030,179 1,716,965 5,150,895 8,584,825 25,754,475

Collatz Trajectory (118 steps to reach 1)

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

25,754,475 77,263,426 38,631,713 115,895,140 57,947,570 28,973,785 86,921,356 43,460,678 21,730,339 65,191,018 32,595,509 97,786,528 48,893,264 24,446,632 12,223,316 6,111,658 3,055,829 9,167,488 4,583,744 2,291,872 1,145,936 572,968 286,484 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758

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