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Atlas › Integer Profiles › Node 1,906,752

1,906,752

26 × 3 × 9931
Abundant Even Composite

1,906,752 factors as 2^6 × 3 × 9931. Its 28 positive divisors give a proper-divisor sum of 3,138,704, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 9931
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 5,045,456
Proper Divisor Sum 3,138,704
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1906747 ← → #1906757

Radix Representation

Decimal 1906752
Binary 111010001100001000000 (21 bits)
Octal 0o7214100
Hexadecimal 0x1D1840

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 9,931 19,862 29,793 39,724 59,586 79,448 119,172 158,896 238,344 317,792 476,688 635,584 953,376 1,906,752

Collatz Trajectory (171 steps to reach 1)

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

1,906,752 953,376 476,688 238,344 119,172 59,586 29,793 89,380 44,690 22,345 67,036 33,518 16,759 50,278 25,139 75,418 37,709 113,128 56,564 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018

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