λ
Sigma Notebook

390,403

13 × 59 × 509
Deficient Odd Composite

390,403 is odd and not a perfect square. Its factorization is 13 × 59 × 509 and its 8 divisors sum to 428,400.

Prime Factor Structure

Factorization String 13 × 59 × 509
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 428,400
Proper Divisor Sum 37,997
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #390391 ← → #390407

Radix Representation

Decimal 390403
Binary 1011111010100000011 (19 bits)
Octal 0o1372403
Hexadecimal 0x5F503

Divisor Catalog (8)

1 13 59 509 767 6,617 30,031 390,403

Collatz Trajectory (161 steps to reach 1)

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

390,403 1,171,210 585,605 1,756,816 878,408 439,204 219,602 109,801 329,404 164,702 82,351 247,054 123,527 370,582 185,291 555,874 277,937 833,812 416,906 208,453 625,360 312,680 156,340 78,170 39,085 117,256 58,628 29,314 14,657 43,972 21,986 10,993 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71

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