25,752,709

23 × 223 × 5021

25,752,709 factors as 23 × 223 × 5021. Its 8 positive divisors give a proper-divisor sum of 1,245,563, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 23 × 223 × 5021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 26,998,272

Proper Divisor Sum 1,245,563

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #25752691 ← → #25752719

Radix Representation

Decimal	25752709
Binary	1100010001111010010000101 (25 bits)
Octal	0o142172205
Hexadecimal	0x188F485

Divisor Catalog (8)

1 23 223 5,021 5,129 115,483 1,119,683 25,752,709

Collatz Trajectory (167 steps to reach 1)

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

25,752,709 77,258,128 38,629,064 19,314,532 9,657,266 4,828,633 14,485,900 7,242,950 3,621,475 10,864,426 5,432,213 16,296,640 8,148,320 4,074,160 2,037,080 1,018,540 509,270 254,635 763,906 381,953 1,145,860 572,930 286,465 859,396 429,698 214,849 644,548 322,274 161,137 483,412 241,706 120,853 362,560 181,280 90,640 45,320 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757

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