25,871

41 × 631

25,871 has digital root 5. The neighboring primes are 25867 and 25873; its proper-divisor sum differs from the starting integer by -25,198.

Prime Factor Structure

Factorization String 41 × 631

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 26,544

Proper Divisor Sum 673

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #25867 ← → #25873

Radix Representation

Decimal	25871
Binary	110010100001111 (15 bits)
Octal	0o62417
Hexadecimal	0x650F

Divisor Catalog (4)

1 41 631 25,871

Collatz Trajectory (77 steps to reach 1)

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

25,871 77,614 38,807 116,422 58,211 174,634 87,317 261,952 130,976 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28

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