λ
Sigma Notebook

4,722,264

23 × 32 × 65587
Abundant Even Composite

4,722,264 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 65587 and its 24 divisors sum to 12,789,660.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 65587
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,789,660
Proper Divisor Sum 8,067,396
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4722239 ← → #4722269

Radix Representation

Decimal 4722264
Binary 10010000000111001011000 (23 bits)
Octal 0o22007130
Hexadecimal 0x480E58

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 65,587 131,174 196,761 262,348 393,522 524,696 590,283 787,044 1,180,566 1,574,088 2,361,132 4,722,264

Collatz Trajectory (100 steps to reach 1)

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

4,722,264 2,361,132 1,180,566 590,283 1,770,850 885,425 2,656,276 1,328,138 664,069 1,992,208 996,104 498,052 249,026 124,513 373,540 186,770 93,385 280,156 140,078 70,039 210,118 105,059 315,178 157,589 472,768 236,384 118,192 59,096 29,548 14,774 7,387 22,162 11,081 33,244 16,622 8,311 24,934 12,467 37,402 18,701 56,104 28,052 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139

More profiles

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