λ
Sigma Notebook

8,473,707

33 × 11 × 103 × 277
Deficient Odd Composite

8,473,707 is odd and not a perfect square. Its factorization is 3^3 × 11 × 103 × 277 and its 32 divisors sum to 13,877,760.

Prime Factor Structure

Factorization String 3^3 × 11 × 103 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,877,760
Proper Divisor Sum 5,404,053
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8473697 ← → #8473721

Radix Representation

Decimal 8473707
Binary 100000010100110001101011 (24 bits)
Octal 0o40246153
Hexadecimal 0x814C6B

Divisor Catalog (32)

1 3 9 11 27 33 99 103 277 297 309 831 927 1,133 2,493 2,781 3,047 3,399 7,479 9,141 10,197 27,423 28,531 30,591 82,269 85,593 256,779 313,841 770,337 941,523 2,824,569 8,473,707

Collatz Trajectory (155 steps to reach 1)

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

8,473,707 25,421,122 12,710,561 38,131,684 19,065,842 9,532,921 28,598,764 14,299,382 7,149,691 21,449,074 10,724,537 32,173,612 16,086,806 8,043,403 24,130,210 12,065,105 36,195,316 18,097,658 9,048,829 27,146,488 13,573,244 6,786,622 3,393,311 10,179,934 5,089,967 15,269,902 7,634,951 22,904,854 11,452,427 34,357,282 17,178,641 51,535,924 25,767,962 12,883,981 38,651,944 19,325,972 9,662,986 4,831,493 14,494,480 7,247,240 3,623,620 1,811,810 905,905 2,717,716 1,358,858 679,429 2,038,288 1,019,144 509,572 254,786 127,393 382,180 191,090 95,545 286,636 143,318 71,659 214,978 107,489 322,468

More profiles

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