λ
Harmonic Matrix

1,134,024

23 × 3 × 47251
Abundant Even Composite

1,134,024 has digital root 6. The neighboring primes are 1133989 and 1134031; its proper-divisor sum differs from the starting integer by 567,072.

Prime Factor Structure

Factorization String 2^3 × 3 × 47251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,835,120
Proper Divisor Sum 1,701,096
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1133989 ← → #1134031

Radix Representation

Decimal 1134024
Binary 100010100110111001000 (21 bits)
Octal 0o4246710
Hexadecimal 0x114DC8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 47,251 94,502 141,753 189,004 283,506 378,008 567,012 1,134,024

Collatz Trajectory (116 steps to reach 1)

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

1,134,024 567,012 283,506 141,753 425,260 212,630 106,315 318,946 159,473 478,420 239,210 119,605 358,816 179,408 89,704 44,852 22,426 11,213 33,640 16,820 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201

More profiles

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