25,752,433

7 × 17 × 23 × 97²

25,752,433 factors as 7 × 17 × 23 × 97^2. Its 24 positive divisors give a proper-divisor sum of 7,103,759, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 7 × 17 × 23 × 97^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 32,856,192

Proper Divisor Sum 7,103,759

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #25752427 ← → #25752437

Radix Representation

Decimal	25752433
Binary	1100010001111001101110001 (25 bits)
Octal	0o142171561
Hexadecimal	0x188F371

Divisor Catalog (24)

Collatz Trajectory (123 steps to reach 1)

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

25,752,433 77,257,300 38,628,650 19,314,325 57,942,976 28,971,488 14,485,744 7,242,872 3,621,436 1,810,718 905,359 2,716,078 1,358,039 4,074,118 2,037,059 6,111,178 3,055,589 9,166,768 4,583,384 2,291,692 1,145,846 572,923 1,718,770 859,385 2,578,156 1,289,078 644,539 1,933,618 966,809 2,900,428 1,450,214 725,107 2,175,322 1,087,661 3,262,984 1,631,492 815,746 407,873 1,223,620 611,810 305,905 917,716 458,858 229,429 688,288 344,144 172,072 86,036 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538

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