25,754,638

2 × 7 × 13 × 141509

25,754,638 factors as 2 × 7 × 13 × 141509. Its 16 positive divisors give a proper-divisor sum of 21,792,722, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 141509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 47,547,360

Proper Divisor Sum 21,792,722

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #25754623 ← → #25754657

Radix Representation

Decimal	25754638
Binary	1100010001111110000001110 (25 bits)
Octal	0o142176016
Hexadecimal	0x188FC0E

Divisor Catalog (16)

1 2 7 13 14 26 91 182 141,509 283,018 990,563 1,839,617 1,981,126 3,679,234 12,877,319 25,754,638

Collatz Trajectory (123 steps to reach 1)

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

25,754,638 12,877,319 38,631,958 19,315,979 57,947,938 28,973,969 86,921,908 43,460,954 21,730,477 65,191,432 32,595,716 16,297,858 8,148,929 24,446,788 12,223,394 6,111,697 18,335,092 9,167,546 4,583,773 13,751,320 6,875,660 3,437,830 1,718,915 5,156,746 2,578,373 7,735,120 3,867,560 1,933,780 966,890 483,445 1,450,336 725,168 362,584 181,292 90,646 45,323 135,970 67,985 203,956 101,978 50,989 152,968 76,484 38,242 19,121 57,364 28,682 14,341 43,024 21,512 10,756 5,378 2,689 8,068 4,034 2,017 6,052 3,026 1,513 4,540

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