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Atlas › Integer Profiles › Node 6,130,096

6,130,096

24 × 73 × 1117
Abundant Even Composite

6,130,096 factors as 2^4 × 7^3 × 1117. Its 40 positive divisors give a proper-divisor sum of 7,733,104, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^4 × 7^3 × 1117
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,863,200
Proper Divisor Sum 7,733,104
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6130067 ← → #6130097

Radix Representation

Decimal 6130096
Binary 10111011000100110110000 (23 bits)
Octal 0o27304660
Hexadecimal 0x5D89B0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1,117 1,372 2,234 2,744 4,468 5,488 7,819 8,936 15,638 17,872 31,276 54,733 62,552 109,466 125,104 218,932 383,131 437,864 766,262 875,728 1,532,524 3,065,048 6,130,096

Collatz Trajectory (152 steps to reach 1)

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

6,130,096 3,065,048 1,532,524 766,262 383,131 1,149,394 574,697 1,724,092 862,046 431,023 1,293,070 646,535 1,939,606 969,803 2,909,410 1,454,705 4,364,116 2,182,058 1,091,029 3,273,088 1,636,544 818,272 409,136 204,568 102,284 51,142 25,571 76,714 38,357 115,072 57,536 28,768 14,384 7,192 3,596 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182

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