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Atlas › Integer Profiles › Node 1,975,952

1,975,952

24 × 11 × 103 × 109
Abundant Even Composite

1,975,952 factors as 2^4 × 11 × 103 × 109. Its 40 positive divisors give a proper-divisor sum of 2,279,728, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 103 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,255,680
Proper Divisor Sum 2,279,728
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1975949 ← → #1975957

Radix Representation

Decimal 1975952
Binary 111100010011010010000 (21 bits)
Octal 0o7423220
Hexadecimal 0x1E2690

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 103 109 176 206 218 412 436 824 872 1,133 1,199 1,648 1,744 2,266 2,398 4,532 4,796 9,064 9,592 11,227 18,128 19,184 22,454 44,908 89,816 123,497 179,632 246,994 493,988 987,976 1,975,952

Collatz Trajectory (122 steps to reach 1)

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

1,975,952 987,976 493,988 246,994 123,497 370,492 185,246 92,623 277,870 138,935 416,806 208,403 625,210 312,605 937,816 468,908 234,454 117,227 351,682 175,841 527,524 263,762 131,881 395,644 197,822 98,911 296,734 148,367 445,102 222,551 667,654 333,827 1,001,482 500,741 1,502,224 751,112 375,556 187,778 93,889 281,668 140,834 70,417 211,252 105,626 52,813 158,440 79,220 39,610 19,805 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089

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