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Atlas › Integer Profiles › Node 39,340,120

39,340,120

23 × 5 × 23 × 61 × 701
Abundant Even Composite

39,340,120 factors as 2^3 × 5 × 23 × 61 × 701. Its 64 positive divisors give a proper-divisor sum of 54,671,720, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 61 × 701
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 94,011,840
Proper Divisor Sum 54,671,720
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #39340087 ← → #39340121

Radix Representation

Decimal 39340120
Binary 10010110000100100001011000 (26 bits)
Octal 0o226044130
Hexadecimal 0x2584858

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 230 244 305 460 488 610 701 920 1,220 1,402 1,403 2,440 2,804 2,806 3,505 5,608 5,612 7,010 7,015 11,224 14,020 14,030 16,123 28,040 28,060 32,246 42,761 56,120 64,492 80,615 85,522 128,984 161,230 171,044 213,805 322,460 342,088 427,610 644,920 855,220 983,503 1,710,440 1,967,006 3,934,012 4,917,515

Collatz Trajectory (209 steps to reach 1)

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

39,340,120 19,670,060 9,835,030 4,917,515 14,752,546 7,376,273 22,128,820 11,064,410 5,532,205 16,596,616 8,298,308 4,149,154 2,074,577 6,223,732 3,111,866 1,555,933 4,667,800 2,333,900 1,166,950 583,475 1,750,426 875,213 2,625,640 1,312,820 656,410 328,205 984,616 492,308 246,154 123,077 369,232 184,616 92,308 46,154 23,077 69,232 34,616 17,308 8,654 4,327 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934

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