λ
Sigma Notebook

400,630

2 × 5 × 40063
Deficient Even Composite

400,630 is even and not a perfect square. Its factorization is 2 × 5 × 40063 and its 8 divisors sum to 721,152.

Prime Factor Structure

Factorization String 2 × 5 × 40063
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 721,152
Proper Divisor Sum 320,522
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #400619 ← → #400643

Radix Representation

Decimal 400630
Binary 1100001110011110110 (19 bits)
Octal 0o1416366
Hexadecimal 0x61CF6

Divisor Catalog (8)

1 2 5 10 40,063 80,126 200,315 400,630

Collatz Trajectory (68 steps to reach 1)

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

400,630 200,315 600,946 300,473 901,420 450,710 225,355 676,066 338,033 1,014,100 507,050 253,525 760,576 380,288 190,144 95,072 47,536 23,768 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13

More profiles

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