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Atlas › Integer Profiles › Node 25,758,324

25,758,324

22 × 34 × 107 × 743
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^4 × 107 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 68,058,144
Proper Divisor Sum 42,299,820
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #25758311 ← → #25758347

Radix Representation

Decimal 25758324
Binary 1100010010000101001110100 (25 bits)
Octal 0o142205164
Hexadecimal 0x1890A74

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 321 324 428 642 743 963 1,284 1,486 1,926 2,229 2,889 2,972 3,852 4,458 5,778 6,687 8,667 8,916 11,556 13,374 17,334 20,061 26,748 34,668 40,122 60,183 79,501 80,244 120,366 159,002 238,503 240,732 318,004 477,006 715,509 954,012 1,431,018 2,146,527 2,862,036 4,293,054 6,439,581 8,586,108 12,879,162 25,758,324

Collatz Trajectory (123 steps to reach 1)

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

25,758,324 12,879,162 6,439,581 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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