λ
Sigma Notebook

7,979,829

3 × 112 × 13 × 19 × 89
Deficient Odd Composite

7,979,829 is odd and not a perfect square. Its factorization is 3 × 11^2 × 13 × 19 × 89 and its 48 divisors sum to 13,406,400.

Prime Factor Structure

Factorization String 3 × 11^2 × 13 × 19 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,406,400
Proper Divisor Sum 5,426,571
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #7979821 ← → #7979833

Radix Representation

Decimal 7979829
Binary 11110011100001100110101 (23 bits)
Octal 0o36341465
Hexadecimal 0x79C335

Divisor Catalog (48)

1 3 11 13 19 33 39 57 89 121 143 209 247 267 363 429 627 741 979 1,157 1,573 1,691 2,299 2,717 2,937 3,471 4,719 5,073 6,897 8,151 10,769 12,727 18,601 21,983 29,887 32,307 38,181 55,803 65,949 89,661 139,997 204,611 241,813 419,991 613,833 725,439 2,659,943 7,979,829

Collatz Trajectory (142 steps to reach 1)

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

7,979,829 23,939,488 11,969,744 5,984,872 2,992,436 1,496,218 748,109 2,244,328 1,122,164 561,082 280,541 841,624 420,812 210,406 105,203 315,610 157,805 473,416 236,708 118,354 59,177 177,532 88,766 44,383 133,150 66,575 199,726 99,863 299,590 149,795 449,386 224,693 674,080 337,040 168,520 84,260 42,130 21,065 63,196 31,598 15,799 47,398 23,699 71,098 35,549 106,648 53,324 26,662 13,331 39,994 19,997 59,992 29,996 14,998 7,499 22,498 11,249 33,748 16,874 8,437

More profiles

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