λ
Sigma Notebook

8,079,075

33 × 52 × 11969
Deficient Odd Composite

8,079,075 is odd and not a perfect square. Its factorization is 3^3 × 5^2 × 11969 and its 24 divisors sum to 14,842,800.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 11969
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,842,800
Proper Divisor Sum 6,763,725
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8079073 ← → #8079077

Radix Representation

Decimal 8079075
Binary 11110110100011011100011 (23 bits)
Octal 0o36643343
Hexadecimal 0x7B46E3

Divisor Catalog (24)

1 3 5 9 15 25 27 45 75 135 225 675 11,969 35,907 59,845 107,721 179,535 299,225 323,163 538,605 897,675 1,615,815 2,693,025 8,079,075

Collatz Trajectory (261 steps to reach 1)

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

8,079,075 24,237,226 12,118,613 36,355,840 18,177,920 9,088,960 4,544,480 2,272,240 1,136,120 568,060 284,030 142,015 426,046 213,023 639,070 319,535 958,606 479,303 1,437,910 718,955 2,156,866 1,078,433 3,235,300 1,617,650 808,825 2,426,476 1,213,238 606,619 1,819,858 909,929 2,729,788 1,364,894 682,447 2,047,342 1,023,671 3,071,014 1,535,507 4,606,522 2,303,261 6,909,784 3,454,892 1,727,446 863,723 2,591,170 1,295,585 3,886,756 1,943,378 971,689 2,915,068 1,457,534 728,767 2,186,302 1,093,151 3,279,454 1,639,727 4,919,182 2,459,591 7,378,774 3,689,387 11,068,162

More profiles

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