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1,200,992

25 × 13 × 2887
Abundant Even Composite

1,200,992 factors as 2^5 × 13 × 2887. Its 24 positive divisors give a proper-divisor sum of 1,346,224, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 2887
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,547,216
Proper Divisor Sum 1,346,224
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1200989 ← → #1201001

Radix Representation

Decimal 1200992
Binary 100100101001101100000 (21 bits)
Octal 0o4451540
Hexadecimal 0x125360

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 2,887 5,774 11,548 23,096 37,531 46,192 75,062 92,384 150,124 300,248 600,496 1,200,992

Collatz Trajectory (235 steps to reach 1)

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

1,200,992 600,496 300,248 150,124 75,062 37,531 112,594 56,297 168,892 84,446 42,223 126,670 63,335 190,006 95,003 285,010 142,505 427,516 213,758 106,879 320,638 160,319 480,958 240,479 721,438 360,719 1,082,158 541,079 1,623,238 811,619 2,434,858 1,217,429 3,652,288 1,826,144 913,072 456,536 228,268 114,134 57,067 171,202 85,601 256,804 128,402 64,201 192,604 96,302 48,151 144,454 72,227 216,682 108,341 325,024 162,512 81,256 40,628 20,314 10,157 30,472 15,236 7,618

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