λ
Sigma Notebook

2,867,400

23 × 35 × 52 × 59
Abundant Even Composite

2,867,400 is even and not a perfect square. Its factorization is 2^3 × 3^5 × 5^2 × 59 and its 144 divisors sum to 10,155,600.

Prime Factor Structure

Factorization String 2^3 × 3^5 × 5^2 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 10,155,600
Proper Divisor Sum 7,288,200
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2867383 ← → #2867429

Radix Representation

Decimal 2867400
Binary 1010111100000011001000 (22 bits)
Octal 0o12740310
Hexadecimal 0x2BC0C8

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 59 60 72 75 81 90 100 108 118 120 135 150 162 177 180 200 216 225 236 243 270 295 300 324 354 360 405 450 472 486 531 540 590 600 648 675 708 810

Collatz Trajectory (169 steps to reach 1)

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

2,867,400 1,433,700 716,850 358,425 1,075,276 537,638 268,819 806,458 403,229 1,209,688 604,844 302,422 151,211 453,634 226,817 680,452 340,226 170,113 510,340 255,170 127,585 382,756 191,378 95,689 287,068 143,534 71,767 215,302 107,651 322,954 161,477 484,432 242,216 121,108 60,554 30,277 90,832 45,416 22,708 11,354 5,677 17,032 8,516 4,258 2,129 6,388 3,194 1,597 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506

More profiles

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