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Atlas › Integer Profiles › Node 8,777,900

8,777,900

22 × 52 × 61 × 1439
Abundant Even Composite

8,777,900 factors as 2^2 × 5^2 × 61 × 1439. Its 36 positive divisors give a proper-divisor sum of 10,595,860, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 61 × 1439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,373,760
Proper Divisor Sum 10,595,860
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8777897 ← → #8777911

Radix Representation

Decimal 8777900
Binary 100001011111000010101100 (24 bits)
Octal 0o41370254
Hexadecimal 0x85F0AC

Divisor Catalog (36)

1 2 4 5 10 20 25 50 61 100 122 244 305 610 1,220 1,439 1,525 2,878 3,050 5,756 6,100 7,195 14,390 28,780 35,975 71,950 87,779 143,900 175,558 351,116 438,895 877,790 1,755,580 2,194,475 4,388,950 8,777,900

Collatz Trajectory (199 steps to reach 1)

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

8,777,900 4,388,950 2,194,475 6,583,426 3,291,713 9,875,140 4,937,570 2,468,785 7,406,356 3,703,178 1,851,589 5,554,768 2,777,384 1,388,692 694,346 347,173 1,041,520 520,760 260,380 130,190 65,095 195,286 97,643 292,930 146,465 439,396 219,698 109,849 329,548 164,774 82,387 247,162 123,581 370,744 185,372 92,686 46,343 139,030 69,515 208,546 104,273 312,820 156,410 78,205 234,616 117,308 58,654 29,327 87,982 43,991 131,974 65,987 197,962 98,981 296,944 148,472 74,236 37,118 18,559 55,678

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