8,756,901

3² × 37 × 26297

8,756,901 factors as 3^2 × 37 × 26297. Its 12 positive divisors give a proper-divisor sum of 4,234,311, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 26297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,991,212

Proper Divisor Sum 4,234,311

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8756897 ← → #8756939

Radix Representation

Decimal	8756901
Binary	100001011001111010100101 (24 bits)
Octal	0o41317245
Hexadecimal	0x859EA5

Divisor Catalog (12)

1 3 9 37 111 333 26,297 78,891 236,673 972,989 2,918,967 8,756,901

Collatz Trajectory (168 steps to reach 1)

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

8,756,901 26,270,704 13,135,352 6,567,676 3,283,838 1,641,919 4,925,758 2,462,879 7,388,638 3,694,319 11,082,958 5,541,479 16,624,438 8,312,219 24,936,658 12,468,329 37,404,988 18,702,494 9,351,247 28,053,742 14,026,871 42,080,614 21,040,307 63,120,922 31,560,461 94,681,384 47,340,692 23,670,346 11,835,173 35,505,520 17,752,760 8,876,380 4,438,190 2,219,095 6,657,286 3,328,643 9,985,930 4,992,965 14,978,896 7,489,448 3,744,724 1,872,362 936,181 2,808,544 1,404,272 702,136 351,068 175,534 87,767 263,302 131,651 394,954 197,477 592,432 296,216 148,108 74,054 37,027 111,082 55,541

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