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Atlas › Integer Profiles › Node 17,519,838

17,519,838

2 × 3 × 7 × 139 × 3001
Abundant Even Composite

17,519,838 factors as 2 × 3 × 7 × 139 × 3001. Its 32 positive divisors give a proper-divisor sum of 22,827,042, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 139 × 3001
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 40,346,880
Proper Divisor Sum 22,827,042
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #17519837 ← → #17519851

Radix Representation

Decimal 17519838
Binary 1000010110101010011011110 (25 bits)
Octal 0o102652336
Hexadecimal 0x10B54DE

Divisor Catalog (32)

1 2 3 6 7 14 21 42 139 278 417 834 973 1,946 2,919 3,001 5,838 6,002 9,003 18,006 21,007 42,014 63,021 126,042 417,139 834,278 1,251,417 2,502,834 2,919,973 5,839,946 8,759,919 17,519,838

Collatz Trajectory (213 steps to reach 1)

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

17,519,838 8,759,919 26,279,758 13,139,879 39,419,638 19,709,819 59,129,458 29,564,729 88,694,188 44,347,094 22,173,547 66,520,642 33,260,321 99,780,964 49,890,482 24,945,241 74,835,724 37,417,862 18,708,931 56,126,794 28,063,397 84,190,192 42,095,096 21,047,548 10,523,774 5,261,887 15,785,662 7,892,831 23,678,494 11,839,247 35,517,742 17,758,871 53,276,614 26,638,307 79,914,922 39,957,461 119,872,384 59,936,192 29,968,096 14,984,048 7,492,024 3,746,012 1,873,006 936,503 2,809,510 1,404,755 4,214,266 2,107,133 6,321,400 3,160,700 1,580,350 790,175 2,370,526 1,185,263 3,555,790 1,777,895 5,333,686 2,666,843 8,000,530 4,000,265

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