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Atlas › Integer Profiles › Node 6,964,096

6,964,096

27 × 41 × 1327
Abundant Even Composite

6,964,096 factors as 2^7 × 41 × 1327. Its 32 positive divisors give a proper-divisor sum of 7,258,784, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^7 × 41 × 1327
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,222,880
Proper Divisor Sum 7,258,784
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6964081 ← → #6964099

Radix Representation

Decimal 6964096
Binary 11010100100001110000000 (23 bits)
Octal 0o32441600
Hexadecimal 0x6A4380

Divisor Catalog (32)

1 2 4 8 16 32 41 64 82 128 164 328 656 1,312 1,327 2,624 2,654 5,248 5,308 10,616 21,232 42,464 54,407 84,928 108,814 169,856 217,628 435,256 870,512 1,741,024 3,482,048 6,964,096

Collatz Trajectory (191 steps to reach 1)

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

6,964,096 3,482,048 1,741,024 870,512 435,256 217,628 108,814 54,407 163,222 81,611 244,834 122,417 367,252 183,626 91,813 275,440 137,720 68,860 34,430 17,215 51,646 25,823 77,470 38,735 116,206 58,103 174,310 87,155 261,466 130,733 392,200 196,100 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364

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