λ
Prime Ledger

2,623,960

23 × 5 × 65599
Abundant Even Composite

2,623,960 has the prime decomposition 2^3 × 5 × 65599. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 65599
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,904,000
Proper Divisor Sum 3,280,040
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2623939 ← → #2623969

Radix Representation

Decimal 2623960
Binary 1010000000100111011000 (22 bits)
Octal 0o12004730
Hexadecimal 0x2809D8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 65,599 131,198 262,396 327,995 524,792 655,990 1,311,980 2,623,960

Collatz Trajectory (187 steps to reach 1)

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

2,623,960 1,311,980 655,990 327,995 983,986 491,993 1,475,980 737,990 368,995 1,106,986 553,493 1,660,480 830,240 415,120 207,560 103,780 51,890 25,945 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780

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