λ
Sigma Notebook

6,572,349

32 × 7 × 104323
Deficient Odd Composite

6,572,349 is odd and not a perfect square. Its factorization is 3^2 × 7 × 104323 and its 12 divisors sum to 10,849,696.

Prime Factor Structure

Factorization String 3^2 × 7 × 104323
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,849,696
Proper Divisor Sum 4,277,347
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6572317 ← → #6572351

Radix Representation

Decimal 6572349
Binary 11001000100100100111101 (23 bits)
Octal 0o31044475
Hexadecimal 0x64493D

Divisor Catalog (12)

1 3 7 9 21 63 104,323 312,969 730,261 938,907 2,190,783 6,572,349

Collatz Trajectory (209 steps to reach 1)

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

6,572,349 19,717,048 9,858,524 4,929,262 2,464,631 7,393,894 3,696,947 11,090,842 5,545,421 16,636,264 8,318,132 4,159,066 2,079,533 6,238,600 3,119,300 1,559,650 779,825 2,339,476 1,169,738 584,869 1,754,608 877,304 438,652 219,326 109,663 328,990 164,495 493,486 246,743 740,230 370,115 1,110,346 555,173 1,665,520 832,760 416,380 208,190 104,095 312,286 156,143 468,430 234,215 702,646 351,323 1,053,970 526,985 1,580,956 790,478 395,239 1,185,718 592,859 1,778,578 889,289 2,667,868 1,333,934 666,967 2,000,902 1,000,451 3,001,354 1,500,677

More profiles

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