25,758,325

5² × 439 × 2347

25,758,325 factors as 5^2 × 439 × 2347. Its 12 positive divisors give a proper-divisor sum of 6,268,395, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 5^2 × 439 × 2347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 32,026,720

Proper Divisor Sum 6,268,395

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #25758311 ← → #25758347

Radix Representation

Decimal	25758325
Binary	1100010010000101001110101 (25 bits)
Octal	0o142205165
Hexadecimal	0x1890A75

Divisor Catalog (12)

1 5 25 439 2,195 2,347 10,975 11,735 58,675 1,030,333 5,151,665 25,758,325

Collatz Trajectory (123 steps to reach 1)

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

25,758,325 77,274,976 38,637,488 19,318,744 9,659,372 4,829,686 2,414,843 7,244,530 3,622,265 10,866,796 5,433,398 2,716,699 8,150,098 4,075,049 12,225,148 6,112,574 3,056,287 9,168,862 4,584,431 13,753,294 6,876,647 20,629,942 10,314,971 30,944,914 15,472,457 46,417,372 23,208,686 11,604,343 34,813,030 17,406,515 52,219,546 26,109,773 78,329,320 39,164,660 19,582,330 9,791,165 29,373,496 14,686,748 7,343,374 3,671,687 11,015,062 5,507,531 16,522,594 8,261,297 24,783,892 12,391,946 6,195,973 18,587,920 9,293,960 4,646,980 2,323,490 1,161,745 3,485,236 1,742,618 871,309 2,613,928 1,306,964 653,482 326,741 980,224

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