25,661,104

2⁴ × 7² × 71 × 461

25,661,104 factors as 2^4 × 7^2 × 71 × 461. Its 60 positive divisors give a proper-divisor sum of 33,116,384, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 71 × 461

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 58,777,488

Proper Divisor Sum 33,116,384

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #25661101 ← → #25661113

Radix Representation

Decimal	25661104
Binary	1100001111000111010110000 (25 bits)
Octal	0o141707260
Hexadecimal	0x1878EB0

Divisor Catalog (60)

1 2 4 7 8 14 16 28 49 56 71 98 112 142 196 284 392 461 497 568 784 922 994 1,136 1,844 1,988 3,227 3,479 3,688 3,976 6,454 6,958 7,376 7,952 12,908 13,916 22,589 25,816 27,832 32,731 45,178 51,632 55,664 65,462 90,356 130,924 180,712 229,117 261,848 361,424 458,234 523,696 916,468 1,603,819 1,832,936 3,207,638 3,665,872 6,415,276 12,830,552 25,661,104

Collatz Trajectory (242 steps to reach 1)

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

25,661,104 12,830,552 6,415,276 3,207,638 1,603,819 4,811,458 2,405,729 7,217,188 3,608,594 1,804,297 5,412,892 2,706,446 1,353,223 4,059,670 2,029,835 6,089,506 3,044,753 9,134,260 4,567,130 2,283,565 6,850,696 3,425,348 1,712,674 856,337 2,569,012 1,284,506 642,253 1,926,760 963,380 481,690 240,845 722,536 361,268 180,634 90,317 270,952 135,476 67,738 33,869 101,608 50,804 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134

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