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Atlas › Integer Profiles › Node 7,905,940

7,905,940

22 × 5 × 7 × 149 × 379
Abundant Even Composite

7,905,940 factors as 2^2 × 5 × 7 × 149 × 379. Its 48 positive divisors give a proper-divisor sum of 11,246,060, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 149 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,152,000
Proper Divisor Sum 11,246,060
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7905929 ← → #7905949

Radix Representation

Decimal 7905940
Binary 11110001010001010010100 (23 bits)
Octal 0o36121224
Hexadecimal 0x78A294

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 140 149 298 379 596 745 758 1,043 1,490 1,516 1,895 2,086 2,653 2,980 3,790 4,172 5,215 5,306 7,580 10,430 10,612 13,265 20,860 26,530 53,060 56,471 112,942 225,884 282,355 395,297 564,710 790,594 1,129,420 1,581,188 1,976,485 3,952,970 7,905,940

Collatz Trajectory (93 steps to reach 1)

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

7,905,940 3,952,970 1,976,485 5,929,456 2,964,728 1,482,364 741,182 370,591 1,111,774 555,887 1,667,662 833,831 2,501,494 1,250,747 3,752,242 1,876,121 5,628,364 2,814,182 1,407,091 4,221,274 2,110,637 6,331,912 3,165,956 1,582,978 791,489 2,374,468 1,187,234 593,617 1,780,852 890,426 445,213 1,335,640 667,820 333,910 166,955 500,866 250,433 751,300 375,650 187,825 563,476 281,738 140,869 422,608 211,304 105,652 52,826 26,413 79,240 39,620 19,810 9,905 29,716 14,858 7,429 22,288 11,144 5,572 2,786 1,393

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