λ
Integer Codex

6,702,984

23 × 32 × 93097
Abundant Even Composite

For 6,702,984, the 24 positive divisors have a total of 18,154,110. Removing 6,702,984 leaves 11,451,126, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 93097
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,154,110
Proper Divisor Sum 11,451,126
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6702979 ← → #6703001

Radix Representation

Decimal 6702984
Binary 11001100100011110001000 (23 bits)
Octal 0o31443610
Hexadecimal 0x664788

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 93,097 186,194 279,291 372,388 558,582 744,776 837,873 1,117,164 1,675,746 2,234,328 3,351,492 6,702,984

Collatz Trajectory (85 steps to reach 1)

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

6,702,984 3,351,492 1,675,746 837,873 2,513,620 1,256,810 628,405 1,885,216 942,608 471,304 235,652 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197

More profiles

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