λ
Sigma Notebook

8,521,419

3 × 131 × 21683
Deficient Odd Composite

8,521,419 is odd and not a perfect square. Its factorization is 3 × 131 × 21683 and its 8 divisors sum to 11,449,152.

Prime Factor Structure

Factorization String 3 × 131 × 21683
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,449,152
Proper Divisor Sum 2,927,733
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8521417 ← → #8521427

Radix Representation

Decimal 8521419
Binary 100000100000011011001011 (24 bits)
Octal 0o40403313
Hexadecimal 0x8206CB

Divisor Catalog (8)

1 3 131 393 21,683 65,049 2,840,473 8,521,419

Collatz Trajectory (230 steps to reach 1)

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

8,521,419 25,564,258 12,782,129 38,346,388 19,173,194 9,586,597 28,759,792 14,379,896 7,189,948 3,594,974 1,797,487 5,392,462 2,696,231 8,088,694 4,044,347 12,133,042 6,066,521 18,199,564 9,099,782 4,549,891 13,649,674 6,824,837 20,474,512 10,237,256 5,118,628 2,559,314 1,279,657 3,838,972 1,919,486 959,743 2,879,230 1,439,615 4,318,846 2,159,423 6,478,270 3,239,135 9,717,406 4,858,703 14,576,110 7,288,055 21,864,166 10,932,083 32,796,250 16,398,125 49,194,376 24,597,188 12,298,594 6,149,297 18,447,892 9,223,946 4,611,973 13,835,920 6,917,960 3,458,980 1,729,490 864,745 2,594,236 1,297,118 648,559 1,945,678

More profiles

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