λ
Math Directory

8,807,380

22 × 5 × 419 × 1051
Abundant Even Composite

8,807,380 factors as 2^2 × 5 × 419 × 1051. Its 24 positive divisors give a proper-divisor sum of 9,749,900, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 419 × 1051
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,557,280
Proper Divisor Sum 9,749,900
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8807371 ← → #8807401

Radix Representation

Decimal 8807380
Binary 100001100110001111010100 (24 bits)
Octal 0o41461724
Hexadecimal 0x8663D4

Divisor Catalog (24)

1 2 4 5 10 20 419 838 1,051 1,676 2,095 2,102 4,190 4,204 5,255 8,380 10,510 21,020 440,369 880,738 1,761,476 2,201,845 4,403,690 8,807,380

Collatz Trajectory (212 steps to reach 1)

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

8,807,380 4,403,690 2,201,845 6,605,536 3,302,768 1,651,384 825,692 412,846 206,423 619,270 309,635 928,906 464,453 1,393,360 696,680 348,340 174,170 87,085 261,256 130,628 65,314 32,657 97,972 48,986 24,493 73,480 36,740 18,370 9,185 27,556 13,778 6,889 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888

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