λ
Sigma Notebook

8,811,625

53 × 157 × 449
Deficient Odd Composite

8,811,625 is odd and not a perfect square. Its factorization is 5^3 × 157 × 449 and its 16 divisors sum to 11,091,600.

Prime Factor Structure

Factorization String 5^3 × 157 × 449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,091,600
Proper Divisor Sum 2,279,975
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8811601 ← → #8811631

Radix Representation

Decimal 8811625
Binary 100001100111010001101001 (24 bits)
Octal 0o41472151
Hexadecimal 0x867469

Divisor Catalog (16)

1 5 25 125 157 449 785 2,245 3,925 11,225 19,625 56,125 70,493 352,465 1,762,325 8,811,625

Collatz Trajectory (194 steps to reach 1)

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

8,811,625 26,434,876 13,217,438 6,608,719 19,826,158 9,913,079 29,739,238 14,869,619 44,608,858 22,304,429 66,913,288 33,456,644 16,728,322 8,364,161 25,092,484 12,546,242 6,273,121 18,819,364 9,409,682 4,704,841 14,114,524 7,057,262 3,528,631 10,585,894 5,292,947 15,878,842 7,939,421 23,818,264 11,909,132 5,954,566 2,977,283 8,931,850 4,465,925 13,397,776 6,698,888 3,349,444 1,674,722 837,361 2,512,084 1,256,042 628,021 1,884,064 942,032 471,016 235,508 117,754 58,877 176,632 88,316 44,158 22,079 66,238 33,119 99,358 49,679 149,038 74,519 223,558 111,779 335,338

More profiles

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