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Atlas › Integer Profiles › Node 26,318,776

26,318,776

23 × 11 × 29 × 10313
Abundant Even Composite

26,318,776 factors as 2^3 × 11 × 29 × 10313. Its 32 positive divisors give a proper-divisor sum of 29,376,824, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 29 × 10313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,695,600
Proper Divisor Sum 29,376,824
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #26318767 ← → #26318827

Radix Representation

Decimal 26318776
Binary 1100100011001011110111000 (25 bits)
Octal 0o144313670
Hexadecimal 0x19197B8

Divisor Catalog (32)

1 2 4 8 11 22 29 44 58 88 116 232 319 638 1,276 2,552 10,313 20,626 41,252 82,504 113,443 226,886 299,077 453,772 598,154 907,544 1,196,308 2,392,616 3,289,847 6,579,694 13,159,388 26,318,776

Collatz Trajectory (87 steps to reach 1)

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

26,318,776 13,159,388 6,579,694 3,289,847 9,869,542 4,934,771 14,804,314 7,402,157 22,206,472 11,103,236 5,551,618 2,775,809 8,327,428 4,163,714 2,081,857 6,245,572 3,122,786 1,561,393 4,684,180 2,342,090 1,171,045 3,513,136 1,756,568 878,284 439,142 219,571 658,714 329,357 988,072 494,036 247,018 123,509 370,528 185,264 92,632 46,316 23,158 11,579 34,738 17,369 52,108 26,054 13,027 39,082 19,541 58,624 29,312 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130

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