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Atlas › Integer Profiles › Node 1,087,712

1,087,712

25 × 19 × 1789
Abundant Even Composite

1,087,712 factors as 2^5 × 19 × 1789. Its 24 positive divisors give a proper-divisor sum of 1,167,688, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^5 × 19 × 1789
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,255,400
Proper Divisor Sum 1,167,688
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1087687 ← → #1087717

Radix Representation

Decimal 1087712
Binary 100001001100011100000 (21 bits)
Octal 0o4114340
Hexadecimal 0x1098E0

Divisor Catalog (24)

1 2 4 8 16 19 32 38 76 152 304 608 1,789 3,578 7,156 14,312 28,624 33,991 57,248 67,982 135,964 271,928 543,856 1,087,712

Collatz Trajectory (90 steps to reach 1)

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

1,087,712 543,856 271,928 135,964 67,982 33,991 101,974 50,987 152,962 76,481 229,444 114,722 57,361 172,084 86,042 43,021 129,064 64,532 32,266 16,133 48,400 24,200 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154

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