4,956,080

2⁴ × 5 × 41 × 1511

4,956,080 is even and not a perfect square. Its factorization is 2^4 × 5 × 41 × 1511 and its 40 divisors sum to 11,811,744.

Prime Factor Structure

Factorization String 2^4 × 5 × 41 × 1511

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 11,811,744

Proper Divisor Sum 6,855,664

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4956073 ← → #4956097

Radix Representation

Decimal	4956080
Binary	10010111001111110110000 (23 bits)
Octal	0o22717660
Hexadecimal	0x4B9FB0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1,511 1,640 3,022 3,280 6,044 7,555 12,088 15,110 24,176 30,220 60,440 61,951 120,880 123,902 247,804 309,755 495,608 619,510 991,216 1,239,020 2,478,040 4,956,080

Collatz Trajectory (175 steps to reach 1)

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

4,956,080 2,478,040 1,239,020 619,510 309,755 929,266 464,633 1,393,900 696,950 348,475 1,045,426 522,713 1,568,140 784,070 392,035 1,176,106 588,053 1,764,160 882,080 441,040 220,520 110,260 55,130 27,565 82,696 41,348 20,674 10,337 31,012 15,506 7,753 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874

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