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Atlas › Integer Profiles › Node 25,352,048

25,352,048

24 × 31 × 79 × 647
Abundant Even Composite

25,352,048 factors as 2^4 × 31 × 79 × 647. Its 40 positive divisors give a proper-divisor sum of 26,073,232, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 79 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 51,425,280
Proper Divisor Sum 26,073,232
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #25352039 ← → #25352053

Radix Representation

Decimal 25352048
Binary 1100000101101011101110000 (25 bits)
Octal 0o140553560
Hexadecimal 0x182D770

Divisor Catalog (40)

1 2 4 8 16 31 62 79 124 158 248 316 496 632 647 1,264 1,294 2,449 2,588 4,898 5,176 9,796 10,352 19,592 20,057 39,184 40,114 51,113 80,228 102,226 160,456 204,452 320,912 408,904 817,808 1,584,503 3,169,006 6,338,012 12,676,024 25,352,048

Collatz Trajectory (167 steps to reach 1)

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

25,352,048 12,676,024 6,338,012 3,169,006 1,584,503 4,753,510 2,376,755 7,130,266 3,565,133 10,695,400 5,347,700 2,673,850 1,336,925 4,010,776 2,005,388 1,002,694 501,347 1,504,042 752,021 2,256,064 1,128,032 564,016 282,008 141,004 70,502 35,251 105,754 52,877 158,632 79,316 39,658 19,829 59,488 29,744 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125

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