λ
Sigma Notebook

8,423,600

24 × 52 × 21059
Abundant Even Composite

8,423,600 is even and not a perfect square. Its factorization is 2^4 × 5^2 × 21059 and its 30 divisors sum to 20,238,660.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 21059
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 20,238,660
Proper Divisor Sum 11,815,060
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8423563 ← → #8423603

Radix Representation

Decimal 8423600
Binary 100000001000100010110000 (24 bits)
Octal 0o40104260
Hexadecimal 0x8088B0

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 21,059 42,118 84,236 105,295 168,472 210,590 336,944 421,180 526,475 842,360 1,052,950 1,684,720 2,105,900 4,211,800 8,423,600

Collatz Trajectory (168 steps to reach 1)

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

8,423,600 4,211,800 2,105,900 1,052,950 526,475 1,579,426 789,713 2,369,140 1,184,570 592,285 1,776,856 888,428 444,214 222,107 666,322 333,161 999,484 499,742 249,871 749,614 374,807 1,124,422 562,211 1,686,634 843,317 2,529,952 1,264,976 632,488 316,244 158,122 79,061 237,184 118,592 59,296 29,648 14,824 7,412 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

More profiles

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