λ
Zalai Atlas

7,824,623

23 × 340201
Deficient Odd Composite

7,824,623 has the prime decomposition 23 × 340201. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 23 × 340201
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,164,848
Proper Divisor Sum 340,225
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7824611 ← → #7824647

Radix Representation

Decimal 7824623
Binary 11101110110010011101111 (23 bits)
Octal 0o35662357
Hexadecimal 0x7764EF

Divisor Catalog (4)

1 23 340,201 7,824,623

Collatz Trajectory (155 steps to reach 1)

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

7,824,623 23,473,870 11,736,935 35,210,806 17,605,403 52,816,210 26,408,105 79,224,316 39,612,158 19,806,079 59,418,238 29,709,119 89,127,358 44,563,679 133,691,038 66,845,519 200,536,558 100,268,279 300,804,838 150,402,419 451,207,258 225,603,629 676,810,888 338,405,444 169,202,722 84,601,361 253,804,084 126,902,042 63,451,021 190,353,064 95,176,532 47,588,266 23,794,133 71,382,400 35,691,200 17,845,600 8,922,800 4,461,400 2,230,700 1,115,350 557,675 1,673,026 836,513 2,509,540 1,254,770 627,385 1,882,156 941,078 470,539 1,411,618 705,809 2,117,428 1,058,714 529,357 1,588,072 794,036 397,018 198,509 595,528 297,764

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