λ
Sigma Notebook

8,545,743

34 × 105503
Deficient Odd Composite

8,545,743 is odd and not a perfect square. Its factorization is 3^4 × 105503 and its 10 divisors sum to 12,765,984.

Prime Factor Structure

Factorization String 3^4 × 105503
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 12,765,984
Proper Divisor Sum 4,220,241
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8545729 ← → #8545759

Radix Representation

Decimal 8545743
Binary 100000100110010111001111 (24 bits)
Octal 0o40462717
Hexadecimal 0x8265CF

Divisor Catalog (10)

1 3 9 27 81 105,503 316,509 949,527 2,848,581 8,545,743

Collatz Trajectory (106 steps to reach 1)

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

8,545,743 25,637,230 12,818,615 38,455,846 19,227,923 57,683,770 28,841,885 86,525,656 43,262,828 21,631,414 10,815,707 32,447,122 16,223,561 48,670,684 24,335,342 12,167,671 36,503,014 18,251,507 54,754,522 27,377,261 82,131,784 41,065,892 20,532,946 10,266,473 30,799,420 15,399,710 7,699,855 23,099,566 11,549,783 34,649,350 17,324,675 51,974,026 25,987,013 77,961,040 38,980,520 19,490,260 9,745,130 4,872,565 14,617,696 7,308,848 3,654,424 1,827,212 913,606 456,803 1,370,410 685,205 2,055,616 1,027,808 513,904 256,952 128,476 64,238 32,119 96,358 48,179 144,538 72,269 216,808 108,404 54,202

More profiles

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