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Atlas › Integer Profiles › Node 25,976,376

25,976,376

23 × 34 × 40087
Abundant Even Composite

25,976,376 factors as 2^3 × 3^4 × 40087. Its 40 positive divisors give a proper-divisor sum of 46,783,344, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 40087
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 72,759,720
Proper Divisor Sum 46,783,344
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #25976371 ← → #25976381

Radix Representation

Decimal 25976376
Binary 1100011000101111000111000 (25 bits)
Octal 0o143057070
Hexadecimal 0x18C5E38

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 40,087 80,174 120,261 160,348 240,522 320,696 360,783 481,044 721,566 962,088 1,082,349 1,443,132 2,164,698 2,886,264 3,247,047 4,329,396 6,494,094 8,658,792 12,988,188 25,976,376

Collatz Trajectory (180 steps to reach 1)

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

25,976,376 12,988,188 6,494,094 3,247,047 9,741,142 4,870,571 14,611,714 7,305,857 21,917,572 10,958,786 5,479,393 16,438,180 8,219,090 4,109,545 12,328,636 6,164,318 3,082,159 9,246,478 4,623,239 13,869,718 6,934,859 20,804,578 10,402,289 31,206,868 15,603,434 7,801,717 23,405,152 11,702,576 5,851,288 2,925,644 1,462,822 731,411 2,194,234 1,097,117 3,291,352 1,645,676 822,838 411,419 1,234,258 617,129 1,851,388 925,694 462,847 1,388,542 694,271 2,082,814 1,041,407 3,124,222 1,562,111 4,686,334 2,343,167 7,029,502 3,514,751 10,544,254 5,272,127 15,816,382 7,908,191 23,724,574 11,862,287 35,586,862

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