λ
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Atlas › Integer Profiles › Node 25,001,055

25,001,055

36 × 5 × 193
Deficient Odd Composite

25,001,055 factors as 3^6 × 5 × 19^3. Its 56 positive divisors give a proper-divisor sum of 22,478,865, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 3^6 × 5 × 19^3
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 47,479,920
Proper Divisor Sum 22,478,865
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #25001047 ← → #25001057

Radix Representation

Decimal 25001055
Binary 1011111010111110001011111 (25 bits)
Octal 0o137276137
Hexadecimal 0x17D7C5F

Divisor Catalog (56)

1 3 5 9 15 19 27 45 57 81 95 135 171 243 285 361 405 513 729 855 1,083 1,215 1,539 1,805 2,565 3,249 3,645 4,617 5,415 6,859 7,695 9,747 13,851 16,245 20,577 23,085 29,241 34,295 48,735 61,731 69,255 87,723 102,885 146,205 185,193 263,169 308,655 438,615 555,579 925,965 1,315,845 1,666,737 2,777,895 5,000,211 8,333,685 25,001,055

Collatz Trajectory (136 steps to reach 1)

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

25,001,055 75,003,166 37,501,583 112,504,750 56,252,375 168,757,126 84,378,563 253,135,690 126,567,845 379,703,536 189,851,768 94,925,884 47,462,942 23,731,471 71,194,414 35,597,207 106,791,622 53,395,811 160,187,434 80,093,717 240,281,152 120,140,576 60,070,288 30,035,144 15,017,572 7,508,786 3,754,393 11,263,180 5,631,590 2,815,795 8,447,386 4,223,693 12,671,080 6,335,540 3,167,770 1,583,885 4,751,656 2,375,828 1,187,914 593,957 1,781,872 890,936 445,468 222,734 111,367 334,102 167,051 501,154 250,577 751,732 375,866 187,933 563,800 281,900 140,950 70,475 211,426 105,713 317,140 158,570

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