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Atlas › Integer Profiles › Node 1,127,940

1,127,940

22 × 3 × 5 × 11 × 1709
Abundant Even Composite

1,127,940 factors as 2^2 × 3 × 5 × 11 × 1709. Its 48 positive divisors give a proper-divisor sum of 2,319,420, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 1709
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,447,360
Proper Divisor Sum 2,319,420
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1127911 ← → #1127947

Radix Representation

Decimal 1127940
Binary 100010011011000000100 (21 bits)
Octal 0o4233004
Hexadecimal 0x113604

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1,709 3,418 5,127 6,836 8,545 10,254 17,090 18,799 20,508 25,635 34,180 37,598 51,270 56,397 75,196 93,995 102,540 112,794 187,990 225,588 281,985 375,980 563,970 1,127,940

Collatz Trajectory (85 steps to reach 1)

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

1,127,940 563,970 281,985 845,956 422,978 211,489 634,468 317,234 158,617 475,852 237,926 118,963 356,890 178,445 535,336 267,668 133,834 66,917 200,752 100,376 50,188 25,094 12,547 37,642 18,821 56,464 28,232 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202

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