λ
Modular Archive

1,012,968

23 × 32 × 11 × 1279
Abundant Even Composite

The decimal integer 1,012,968 is 11110111010011101000 in binary (20 bits), 3672350 in octal and F74E8 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 1279
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,995,200
Proper Divisor Sum 1,982,232
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1012967 ← → #1012981

Radix Representation

Decimal 1012968
Binary 11110111010011101000 (20 bits)
Octal 0o3672350
Hexadecimal 0xF74E8

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1,279 2,558 3,837 5,116 7,674 10,232 11,511 14,069 15,348 23,022 28,138 30,696 42,207 46,044 56,276 84,414 92,088 112,552 126,621 168,828 253,242 337,656 506,484 1,012,968

Collatz Trajectory (82 steps to reach 1)

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

1,012,968 506,484 253,242 126,621 379,864 189,932 94,966 47,483 142,450 71,225 213,676 106,838 53,419 160,258 80,129 240,388 120,194 60,097 180,292 90,146 45,073 135,220 67,610 33,805 101,416 50,708 25,354 12,677 38,032 19,016 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073

More profiles

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