λ
Sigma Notebook

6,387,363

33 × 19 × 12451
Deficient Odd Composite

6,387,363 is odd and not a perfect square. Its factorization is 3^3 × 19 × 12451 and its 16 divisors sum to 9,961,600.

Prime Factor Structure

Factorization String 3^3 × 19 × 12451
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,961,600
Proper Divisor Sum 3,574,237
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6387323 ← → #6387379

Radix Representation

Decimal 6387363
Binary 11000010111011010100011 (23 bits)
Octal 0o30273243
Hexadecimal 0x6176A3

Divisor Catalog (16)

1 3 9 19 27 57 171 513 12,451 37,353 112,059 236,569 336,177 709,707 2,129,121 6,387,363

Collatz Trajectory (196 steps to reach 1)

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

6,387,363 19,162,090 9,581,045 28,743,136 14,371,568 7,185,784 3,592,892 1,796,446 898,223 2,694,670 1,347,335 4,042,006 2,021,003 6,063,010 3,031,505 9,094,516 4,547,258 2,273,629 6,820,888 3,410,444 1,705,222 852,611 2,557,834 1,278,917 3,836,752 1,918,376 959,188 479,594 239,797 719,392 359,696 179,848 89,924 44,962 22,481 67,444 33,722 16,861 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127

More profiles

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