λ
Harmonic Matrix

5,783,767

11 × 509 × 1033
Deficient Odd Composite

5,783,767 has digital root 7. The neighboring primes are 5783761 and 5783779; its proper-divisor sum differs from the starting integer by -5,239,454.

Prime Factor Structure

Factorization String 11 × 509 × 1033
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,328,080
Proper Divisor Sum 544,313
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5783761 ← → #5783779

Radix Representation

Decimal 5783767
Binary 10110000100000011010111 (23 bits)
Octal 0o26040327
Hexadecimal 0x5840D7

Divisor Catalog (8)

1 11 509 1,033 5,599 11,363 525,797 5,783,767

Collatz Trajectory (214 steps to reach 1)

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

5,783,767 17,351,302 8,675,651 26,026,954 13,013,477 39,040,432 19,520,216 9,760,108 4,880,054 2,440,027 7,320,082 3,660,041 10,980,124 5,490,062 2,745,031 8,235,094 4,117,547 12,352,642 6,176,321 18,528,964 9,264,482 4,632,241 13,896,724 6,948,362 3,474,181 10,422,544 5,211,272 2,605,636 1,302,818 651,409 1,954,228 977,114 488,557 1,465,672 732,836 366,418 183,209 549,628 274,814 137,407 412,222 206,111 618,334 309,167 927,502 463,751 1,391,254 695,627 2,086,882 1,043,441 3,130,324 1,565,162 782,581 2,347,744 1,173,872 586,936 293,468 146,734 73,367 220,102

More profiles

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