4,888,320

2⁸ × 3 × 5 × 19 × 67

4,888,320 has digital root 6. The neighboring primes are 4888319 and 4888321; its proper-divisor sum differs from the starting integer by 6,902,400.

Prime Factor Structure

Factorization String 2^8 × 3 × 5 × 19 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 16,679,040

Proper Divisor Sum 11,790,720

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4888319 ← → #4888321

Radix Representation

Decimal	4888320
Binary	10010101001011100000000 (23 bits)
Octal	0o22513400
Hexadecimal	0x4A9700

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 67 76 80 95 96 114 120 128 134 152 160 190 192 201 228 240 256 268 285 304 320 335 380 384 402 456 480 536 570 608 640 670 760 768 804 912 960 1,005

Collatz Trajectory (113 steps to reach 1)

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

4,888,320 2,444,160 1,222,080 611,040 305,520 152,760 76,380 38,190 19,095 57,286 28,643 85,930 42,965 128,896 64,448 32,224 16,112 8,056 4,028 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182

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