λ
Harmonic Matrix

5,773,313

7 × 13 × 63443
Deficient Odd Composite

5,773,313 has digital root 2. The neighboring primes are 5773279 and 5773331; its proper-divisor sum differs from the starting integer by -4,440,898.

Prime Factor Structure

Factorization String 7 × 13 × 63443
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,105,728
Proper Divisor Sum 1,332,415
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5773279 ← → #5773331

Radix Representation

Decimal 5773313
Binary 10110000001100000000001 (23 bits)
Octal 0o26014001
Hexadecimal 0x581801

Divisor Catalog (8)

1 7 13 91 63,443 444,101 824,759 5,773,313

Collatz Trajectory (214 steps to reach 1)

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

5,773,313 17,319,940 8,659,970 4,329,985 12,989,956 6,494,978 3,247,489 9,742,468 4,871,234 2,435,617 7,306,852 3,653,426 1,826,713 5,480,140 2,740,070 1,370,035 4,110,106 2,055,053 6,165,160 3,082,580 1,541,290 770,645 2,311,936 1,155,968 577,984 288,992 144,496 72,248 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625

More profiles

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