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Atlas › Integer Profiles › Node 26,192,544

26,192,544

25 × 3 × 7 × 38977
Abundant Even Composite

26,192,544 factors as 2^5 × 3 × 7 × 38977. Its 48 positive divisors give a proper-divisor sum of 52,387,104, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 38977
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 78,579,648
Proper Divisor Sum 52,387,104
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #26192531 ← → #26192549

Radix Representation

Decimal 26192544
Binary 1100011111010101010100000 (25 bits)
Octal 0o143725240
Hexadecimal 0x18FAAA0

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 38,977 77,954 116,931 155,908 233,862 272,839 311,816 467,724 545,678 623,632 818,517 935,448 1,091,356 1,247,264 1,637,034 1,870,896 2,182,712 3,274,068 3,741,792 4,365,424 6,548,136 8,730,848 13,096,272 26,192,544

Collatz Trajectory (87 steps to reach 1)

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

26,192,544 13,096,272 6,548,136 3,274,068 1,637,034 818,517 2,455,552 1,227,776 613,888 306,944 153,472 76,736 38,368 19,184 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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