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Atlas › Integer Profiles › Node 25,104,016

25,104,016

24 × 7 × 19 × 47 × 251
Abundant Even Composite

25,104,016 factors as 2^4 × 7 × 19 × 47 × 251. Its 80 positive divisors give a proper-divisor sum of 34,892,144, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 19 × 47 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 59,996,160
Proper Divisor Sum 34,892,144
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #25103993 ← → #25104031

Radix Representation

Decimal 25104016
Binary 1011111110000111010010000 (25 bits)
Octal 0o137607220
Hexadecimal 0x17F0E90

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 19 28 38 47 56 76 94 112 133 152 188 251 266 304 329 376 502 532 658 752 893 1,004 1,064 1,316 1,757 1,786 2,008 2,128 2,632 3,514 3,572 4,016 4,769 5,264 6,251 7,028 7,144 9,538 11,797 12,502 14,056 14,288 19,076 23,594 25,004 28,112 33,383 38,152 47,188 50,008 66,766 76,304 82,579

Collatz Trajectory (211 steps to reach 1)

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

25,104,016 12,552,008 6,276,004 3,138,002 1,569,001 4,707,004 2,353,502 1,176,751 3,530,254 1,765,127 5,295,382 2,647,691 7,943,074 3,971,537 11,914,612 5,957,306 2,978,653 8,935,960 4,467,980 2,233,990 1,116,995 3,350,986 1,675,493 5,026,480 2,513,240 1,256,620 628,310 314,155 942,466 471,233 1,413,700 706,850 353,425 1,060,276 530,138 265,069 795,208 397,604 198,802 99,401 298,204 149,102 74,551 223,654 111,827 335,482 167,741 503,224 251,612 125,806 62,903 188,710 94,355 283,066 141,533 424,600 212,300 106,150 53,075 159,226

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