λ
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Atlas › Integer Profiles › Node 25,996,768

25,996,768

25 × 7 × 43 × 2699
Abundant Even Composite

25,996,768 factors as 2^5 × 7 × 43 × 2699. Its 48 positive divisors give a proper-divisor sum of 33,878,432, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 43 × 2699
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 59,875,200
Proper Divisor Sum 33,878,432
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #25996703 ← → #25996771

Radix Representation

Decimal 25996768
Binary 1100011001010110111100000 (25 bits)
Octal 0o143126740
Hexadecimal 0x18CADE0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1,204 1,376 2,408 2,699 4,816 5,398 9,632 10,796 18,893 21,592 37,786 43,184 75,572 86,368 116,057 151,144 232,114 302,288 464,228 604,576 812,399 928,456 1,624,798 1,856,912 3,249,596 3,713,824 6,499,192 12,998,384 25,996,768

Collatz Trajectory (211 steps to reach 1)

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

25,996,768 12,998,384 6,499,192 3,249,596 1,624,798 812,399 2,437,198 1,218,599 3,655,798 1,827,899 5,483,698 2,741,849 8,225,548 4,112,774 2,056,387 6,169,162 3,084,581 9,253,744 4,626,872 2,313,436 1,156,718 578,359 1,735,078 867,539 2,602,618 1,301,309 3,903,928 1,951,964 975,982 487,991 1,463,974 731,987 2,195,962 1,097,981 3,293,944 1,646,972 823,486 411,743 1,235,230 617,615 1,852,846 926,423 2,779,270 1,389,635 4,168,906 2,084,453 6,253,360 3,126,680 1,563,340 781,670 390,835 1,172,506 586,253 1,758,760 879,380 439,690 219,845 659,536 329,768 164,884

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