25,545,725

5² × 37 × 27617

25,545,725 factors as 5^2 × 37 × 27617. Its 12 positive divisors give a proper-divisor sum of 6,988,279, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 5^2 × 37 × 27617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 32,534,004

Proper Divisor Sum 6,988,279

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #25545721 ← → #25545739

Radix Representation

Decimal	25545725
Binary	1100001011100101111111101 (25 bits)
Octal	0o141345775
Hexadecimal	0x185CBFD

Divisor Catalog (12)

1 5 25 37 185 925 27,617 138,085 690,425 1,021,829 5,109,145 25,545,725

Collatz Trajectory (154 steps to reach 1)

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

25,545,725 76,637,176 38,318,588 19,159,294 9,579,647 28,738,942 14,369,471 43,108,414 21,554,207 64,662,622 32,331,311 96,993,934 48,496,967 145,490,902 72,745,451 218,236,354 109,118,177 327,354,532 163,677,266 81,838,633 245,515,900 122,757,950 61,378,975 184,136,926 92,068,463 276,205,390 138,102,695 414,308,086 207,154,043 621,462,130 310,731,065 932,193,196 466,096,598 233,048,299 699,144,898 349,572,449 1,048,717,348 524,358,674 262,179,337 786,538,012 393,269,006 196,634,503 589,903,510 294,951,755 884,855,266 442,427,633 1,327,282,900 663,641,450 331,820,725 995,462,176 497,731,088 248,865,544 124,432,772 62,216,386 31,108,193 93,324,580 46,662,290 23,331,145 69,993,436 34,996,718

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