λ
Sigma Notebook

7,740,427

1187 × 6521
Deficient Odd Composite

7,740,427 is odd and not a perfect square. Its factorization is 1187 × 6521 and its 4 divisors sum to 7,748,136.

Prime Factor Structure

Factorization String 1187 × 6521
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,748,136
Proper Divisor Sum 7,709
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7740413 ← → #7740433

Radix Representation

Decimal 7740427
Binary 11101100001110000001011 (23 bits)
Octal 0o35416013
Hexadecimal 0x761C0B

Divisor Catalog (4)

1 1,187 6,521 7,740,427

Collatz Trajectory (129 steps to reach 1)

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

7,740,427 23,221,282 11,610,641 34,831,924 17,415,962 8,707,981 26,123,944 13,061,972 6,530,986 3,265,493 9,796,480 4,898,240 2,449,120 1,224,560 612,280 306,140 153,070 76,535 229,606 114,803 344,410 172,205 516,616 258,308 129,154 64,577 193,732 96,866 48,433 145,300 72,650 36,325 108,976 54,488 27,244 13,622 6,811 20,434 10,217 30,652 15,326 7,663 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106

More profiles

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