4,495,920

2⁴ × 3 × 5 × 11 × 13 × 131

4,495,920 factors as 2^4 × 3 × 5 × 11 × 13 × 131. Its 160 positive divisors give a proper-divisor sum of 12,003,024, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11 × 13 × 131

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 16,498,944

Proper Divisor Sum 12,003,024

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4495919 ← → #4495921

Radix Representation

Decimal	4495920
Binary	10001001001101000110000 (23 bits)
Octal	0o21115060
Hexadecimal	0x449A30

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 131 132 143 156 165 176 195 208 220 240 260 262 264 286 312 330 390 393 429 440 520 524 528 572 624

Collatz Trajectory (110 steps to reach 1)

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

4,495,920 2,247,960 1,123,980 561,990 280,995 842,986 421,493 1,264,480 632,240 316,120 158,060 79,030 39,515 118,546 59,273 177,820 88,910 44,455 133,366 66,683 200,050 100,025 300,076 150,038 75,019 225,058 112,529 337,588 168,794 84,397 253,192 126,596 63,298 31,649 94,948 47,474 23,737 71,212 35,606 17,803 53,410 26,705 80,116 40,058 20,029 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901 50,704 25,352 12,676 6,338 3,169 9,508 4,754

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