λ
Zalai Atlas

2,322,015

3 × 5 × 283 × 547
Deficient Odd Composite

2,322,015 has the prime decomposition 3 × 5 × 283 × 547. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 283 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,735,168
Proper Divisor Sum 1,413,153
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2321999 ← → #2322031

Radix Representation

Decimal 2322015
Binary 1000110110111001011111 (22 bits)
Octal 0o10667137
Hexadecimal 0x236E5F

Divisor Catalog (16)

1 3 5 15 283 547 849 1,415 1,641 2,735 4,245 8,205 154,801 464,403 774,005 2,322,015

Collatz Trajectory (192 steps to reach 1)

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

2,322,015 6,966,046 3,483,023 10,449,070 5,224,535 15,673,606 7,836,803 23,510,410 11,755,205 35,265,616 17,632,808 8,816,404 4,408,202 2,204,101 6,612,304 3,306,152 1,653,076 826,538 413,269 1,239,808 619,904 309,952 154,976 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741

More profiles

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