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Atlas › Integer Profiles › Node 1,960,038

1,960,038

2 × 35 × 37 × 109
Abundant Even Composite

1,960,038 factors as 2 × 3^5 × 37 × 109. Its 48 positive divisors give a proper-divisor sum of 2,604,522, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 37 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,564,560
Proper Divisor Sum 2,604,522
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1960033 ← → #1960051

Radix Representation

Decimal 1960038
Binary 111011110100001100110 (21 bits)
Octal 0o7364146
Hexadecimal 0x1DE866

Divisor Catalog (48)

1 2 3 6 9 18 27 37 54 74 81 109 111 162 218 222 243 327 333 486 654 666 981 999 1,962 1,998 2,943 2,997 4,033 5,886 5,994 8,066 8,829 8,991 12,099 17,658 17,982 24,198 26,487 36,297 52,974 72,594 108,891 217,782 326,673 653,346 980,019 1,960,038

Collatz Trajectory (184 steps to reach 1)

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

1,960,038 980,019 2,940,058 1,470,029 4,410,088 2,205,044 1,102,522 551,261 1,653,784 826,892 413,446 206,723 620,170 310,085 930,256 465,128 232,564 116,282 58,141 174,424 87,212 43,606 21,803 65,410 32,705 98,116 49,058 24,529 73,588 36,794 18,397 55,192 27,596 13,798 6,899 20,698 10,349 31,048 15,524 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074

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