25,752,076

2² × 7 × 17 × 54101

25,752,076 factors as 2^2 × 7 × 17 × 54101. Its 24 positive divisors give a proper-divisor sum of 28,782,740, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 54101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 54,534,816

Proper Divisor Sum 28,782,740

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #25752047 ← → #25752079

Radix Representation

Decimal	25752076
Binary	1100010001111001000001100 (25 bits)
Octal	0o142171014
Hexadecimal	0x188F20C

Divisor Catalog (24)

Collatz Trajectory (242 steps to reach 1)

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

25,752,076 12,876,038 6,438,019 19,314,058 9,657,029 28,971,088 14,485,544 7,242,772 3,621,386 1,810,693 5,432,080 2,716,040 1,358,020 679,010 339,505 1,018,516 509,258 254,629 763,888 381,944 190,972 95,486 47,743 143,230 71,615 214,846 107,423 322,270 161,135 483,406 241,703 725,110 362,555 1,087,666 543,833 1,631,500 815,750 407,875 1,223,626 611,813 1,835,440 917,720 458,860 229,430 114,715 344,146 172,073 516,220 258,110 129,055 387,166 193,583 580,750 290,375 871,126 435,563 1,306,690 653,345 1,960,036 980,018

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