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Atlas › Integer Profiles › Node 1,919,952

1,919,952

24 × 32 × 67 × 199
Abundant Even Composite

1,919,952 factors as 2^4 × 3^2 × 67 × 199. Its 60 positive divisors give a proper-divisor sum of 3,560,848, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 67 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 5,480,800
Proper Divisor Sum 3,560,848
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1919947 ← → #1919959

Radix Representation

Decimal 1919952
Binary 111010100101111010000 (21 bits)
Octal 0o7245720
Hexadecimal 0x1D4BD0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 199 201 268 398 402 536 597 603 796 804 1,072 1,194 1,206 1,592 1,608 1,791 2,388 2,412 3,184 3,216 3,582 4,776 4,824 7,164 9,552 9,648 13,333 14,328 26,666 28,656 39,999 53,332 79,998 106,664 119,997 159,996 213,328 239,994 319,992 479,988 639,984 959,976 1,919,952

Collatz Trajectory (70 steps to reach 1)

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

1,919,952 959,976 479,988 239,994 119,997 359,992 179,996 89,998 44,999 134,998 67,499 202,498 101,249 303,748 151,874 75,937 227,812 113,906 56,953 170,860 85,430 42,715 128,146 64,073 192,220 96,110 48,055 144,166 72,083 216,250 108,125 324,376 162,188 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340

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