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Atlas › Integer Profiles › Node 13,820,668

13,820,668

22 × 31 × 227 × 491
Deficient Even Composite

13,820,668 factors as 2^2 × 31 × 227 × 491. Its 24 positive divisors give a proper-divisor sum of 11,306,756, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 227 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 25,127,424
Proper Divisor Sum 11,306,756
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #13820633 ← → #13820671

Radix Representation

Decimal 13820668
Binary 110100101110001011111100 (24 bits)
Octal 0o64561374
Hexadecimal 0xD2E2FC

Divisor Catalog (24)

1 2 4 31 62 124 227 454 491 908 982 1,964 7,037 14,074 15,221 28,148 30,442 60,884 111,457 222,914 445,828 3,455,167 6,910,334 13,820,668

Collatz Trajectory (99 steps to reach 1)

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

13,820,668 6,910,334 3,455,167 10,365,502 5,182,751 15,548,254 7,774,127 23,322,382 11,661,191 34,983,574 17,491,787 52,475,362 26,237,681 78,713,044 39,356,522 19,678,261 59,034,784 29,517,392 14,758,696 7,379,348 3,689,674 1,844,837 5,534,512 2,767,256 1,383,628 691,814 345,907 1,037,722 518,861 1,556,584 778,292 389,146 194,573 583,720 291,860 145,930 72,965 218,896 109,448 54,724 27,362 13,681 41,044 20,522 10,261 30,784 15,392 7,696 3,848 1,924 962 481 1,444 722 361 1,084 542 271 814 407

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