8,397,984

2⁵ × 3 × 7 × 12497

8,397,984 is even and not a perfect square. Its factorization is 2^5 × 3 × 7 × 12497 and its 48 divisors sum to 25,195,968.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 12497

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 25,195,968

Proper Divisor Sum 16,797,984

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #8397971 ← → #8398003

Radix Representation

Decimal	8397984
Binary	100000000010010010100000 (24 bits)
Octal	0o40022240
Hexadecimal	0x8024A0

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 12,497 24,994 37,491 49,988 74,982 87,479 99,976 149,964 174,958 199,952 262,437 299,928 349,916 399,904 524,874 599,856 699,832 1,049,748 1,199,712 1,399,664 2,099,496 2,799,328 4,198,992 8,397,984

Collatz Trajectory (106 steps to reach 1)

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

8,397,984 4,198,992 2,099,496 1,049,748 524,874 262,437 787,312 393,656 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388 210,194 105,097 315,292 157,646 78,823 236,470 118,235 354,706 177,353 532,060 266,030 133,015 399,046 199,523 598,570 299,285 897,856 448,928 224,464 112,232 56,116 28,058 14,029 42,088 21,044 10,522 5,261 15,784 7,892 3,946 1,973 5,920 2,960 1,480

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