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Atlas › Integer Profiles › Node 47,043,808

47,043,808

25 × 7 × 103 × 2039
Abundant Even Composite

47,043,808 factors as 2^5 × 7 × 103 × 2039. Its 48 positive divisors give a proper-divisor sum of 59,884,832, so this integer is abundant. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 103 × 2039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 106,928,640
Proper Divisor Sum 59,884,832
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #47043793 ← → #47043817

Radix Representation

Decimal 47043808
Binary 10110011011101010011100000 (26 bits)
Octal 0o263352340
Hexadecimal 0x2CDD4E0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 721 824 1,442 1,648 2,039 2,884 3,296 4,078 5,768 8,156 11,536 14,273 16,312 23,072 28,546 32,624 57,092 65,248 114,184 210,017 228,368 420,034 456,736 840,068 1,470,119 1,680,136 2,940,238 3,360,272 5,880,476 6,720,544 11,760,952 23,521,904 47,043,808

Collatz Trajectory (248 steps to reach 1)

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

47,043,808 23,521,904 11,760,952 5,880,476 2,940,238 1,470,119 4,410,358 2,205,179 6,615,538 3,307,769 9,923,308 4,961,654 2,480,827 7,442,482 3,721,241 11,163,724 5,581,862 2,790,931 8,372,794 4,186,397 12,559,192 6,279,596 3,139,798 1,569,899 4,709,698 2,354,849 7,064,548 3,532,274 1,766,137 5,298,412 2,649,206 1,324,603 3,973,810 1,986,905 5,960,716 2,980,358 1,490,179 4,470,538 2,235,269 6,705,808 3,352,904 1,676,452 838,226 419,113 1,257,340 628,670 314,335 943,006 471,503 1,414,510 707,255 2,121,766 1,060,883 3,182,650 1,591,325 4,773,976 2,386,988 1,193,494 596,747 1,790,242

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