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Atlas › Integer Profiles › Node 7,806,848

7,806,848

27 × 7 × 8713
Abundant Even Composite

7,806,848 factors as 2^7 × 7 × 8713. Its 32 positive divisors give a proper-divisor sum of 9,969,712, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^7 × 7 × 8713
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,776,560
Proper Divisor Sum 9,969,712
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7806833 ← → #7806863

Radix Representation

Decimal 7806848
Binary 11101110001111110000000 (23 bits)
Octal 0o35617600
Hexadecimal 0x771F80

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 8,713 17,426 34,852 60,991 69,704 121,982 139,408 243,964 278,816 487,928 557,632 975,856 1,115,264 1,951,712 3,903,424 7,806,848

Collatz Trajectory (230 steps to reach 1)

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

7,806,848 3,903,424 1,951,712 975,856 487,928 243,964 121,982 60,991 182,974 91,487 274,462 137,231 411,694 205,847 617,542 308,771 926,314 463,157 1,389,472 694,736 347,368 173,684 86,842 43,421 130,264 65,132 32,566 16,283 48,850 24,425 73,276 36,638 18,319 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255

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