λ
Harmonic Matrix

5,724,991

5724991
Deficient Odd Prime

5,724,991 has digital root 1. The neighboring primes are 5724989 and 5724997; its proper-divisor sum differs from the starting integer by -5,724,990.

Prime Factor Structure

Factorization String 5724991
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,724,992
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5724989 ← → #5724997

Radix Representation

Decimal 5724991
Binary 10101110101101100111111 (23 bits)
Octal 0o25655477
Hexadecimal 0x575B3F

Divisor Catalog (2)

1 5,724,991

Collatz Trajectory (245 steps to reach 1)

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

5,724,991 17,174,974 8,587,487 25,762,462 12,881,231 38,643,694 19,321,847 57,965,542 28,982,771 86,948,314 43,474,157 130,422,472 65,211,236 32,605,618 16,302,809 48,908,428 24,454,214 12,227,107 36,681,322 18,340,661 55,021,984 27,510,992 13,755,496 6,877,748 3,438,874 1,719,437 5,158,312 2,579,156 1,289,578 644,789 1,934,368 967,184 483,592 241,796 120,898 60,449 181,348 90,674 45,337 136,012 68,006 34,003 102,010 51,005 153,016 76,508 38,254 19,127 57,382 28,691 86,074 43,037 129,112 64,556 32,278 16,139 48,418 24,209 72,628 36,314

More profiles

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