λ
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Atlas › Integer Profiles › Node 6,880,768

6,880,768

29 × 89 × 151
Abundant Even Composite

6,880,768 factors as 2^9 × 89 × 151. Its 40 positive divisors give a proper-divisor sum of 7,113,872, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^9 × 89 × 151
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,994,640
Proper Divisor Sum 7,113,872
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6880721 ← → #6880771

Radix Representation

Decimal 6880768
Binary 11010001111111000000000 (23 bits)
Octal 0o32177000
Hexadecimal 0x68FE00

Divisor Catalog (40)

1 2 4 8 16 32 64 89 128 151 178 256 302 356 512 604 712 1,208 1,424 2,416 2,848 4,832 5,696 9,664 11,392 13,439 19,328 22,784 26,878 38,656 45,568 53,756 77,312 107,512 215,024 430,048 860,096 1,720,192 3,440,384 6,880,768

Collatz Trajectory (253 steps to reach 1)

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

6,880,768 3,440,384 1,720,192 860,096 430,048 215,024 107,512 53,756 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226 86,113 258,340 129,170 64,585 193,756 96,878 48,439 145,318 72,659 217,978 108,989 326,968 163,484 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942 68,971 206,914 103,457 310,372 155,186 77,593 232,780 116,390 58,195 174,586 87,293 261,880

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