7,211,840

2⁶ × 5 × 31 × 727

7,211,840 is even and not a perfect square. Its factorization is 2^6 × 5 × 31 × 727 and its 56 divisors sum to 17,751,552.

Prime Factor Structure

Factorization String 2^6 × 5 × 31 × 727

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 17,751,552

Proper Divisor Sum 10,539,712

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7211839 ← → #7211843

Radix Representation

Decimal	7211840
Binary	11011100000101101000000 (23 bits)
Octal	0o33405500
Hexadecimal	0x6E0B40

Divisor Catalog (56)

1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 727 992 1,240 1,454 1,984 2,480 2,908 3,635 4,960 5,816 7,270 9,920 11,632 14,540 22,537 23,264 29,080 45,074 46,528 58,160 90,148 112,685 116,320 180,296 225,370 232,640 360,592 450,740 721,184 901,480 1,442,368 1,802,960 3,605,920 7,211,840

Collatz Trajectory (67 steps to reach 1)

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

7,211,840 3,605,920 1,802,960 901,480 450,740 225,370 112,685 338,056 169,028 84,514 42,257 126,772 63,386 31,693 95,080 47,540 23,770 11,885 35,656 17,828 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40

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