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Atlas › Integer Profiles › Node 1,196,772

1,196,772

22 × 3 × 19 × 29 × 181
Abundant Even Composite

1,196,772 factors as 2^2 × 3 × 19 × 29 × 181. Its 48 positive divisors give a proper-divisor sum of 1,860,828, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 29 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,057,600
Proper Divisor Sum 1,860,828
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1196731 ← → #1196773

Radix Representation

Decimal 1196772
Binary 100100100001011100100 (21 bits)
Octal 0o4441344
Hexadecimal 0x1242E4

Divisor Catalog (48)

1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 181 228 348 362 543 551 724 1,086 1,102 1,653 2,172 2,204 3,306 3,439 5,249 6,612 6,878 10,317 10,498 13,756 15,747 20,634 20,996 31,494 41,268 62,988 99,731 199,462 299,193 398,924 598,386 1,196,772

Collatz Trajectory (235 steps to reach 1)

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

1,196,772 598,386 299,193 897,580 448,790 224,395 673,186 336,593 1,009,780 504,890 252,445 757,336 378,668 189,334 94,667 284,002 142,001 426,004 213,002 106,501 319,504 159,752 79,876 39,938 19,969 59,908 29,954 14,977 44,932 22,466 11,233 33,700 16,850 8,425 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562

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