λ
Sigma Notebook

2,356,580

22 × 5 × 23 × 47 × 109
Abundant Even Composite

2,356,580 is even and not a perfect square. Its factorization is 2^2 × 5 × 23 × 47 × 109 and its 48 divisors sum to 5,322,240.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 47 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,322,240
Proper Divisor Sum 2,965,660
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2356573 ← → #2356583

Radix Representation

Decimal 2356580
Binary 1000111111010101100100 (22 bits)
Octal 0o10772544
Hexadecimal 0x23F564

Divisor Catalog (48)

1 2 4 5 10 20 23 46 47 92 94 109 115 188 218 230 235 436 460 470 545 940 1,081 1,090 2,162 2,180 2,507 4,324 5,014 5,123 5,405 10,028 10,246 10,810 12,535 20,492 21,620 25,070 25,615 50,140 51,230 102,460 117,829 235,658 471,316 589,145 1,178,290 2,356,580

Collatz Trajectory (68 steps to reach 1)

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

2,356,580 1,178,290 589,145 1,767,436 883,718 441,859 1,325,578 662,789 1,988,368 994,184 497,092 248,546 124,273 372,820 186,410 93,205 279,616 139,808 69,904 34,952 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

More profiles

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