λ
Prime Ledger

400,705

5 × 80141
Deficient Odd Composite

400,705 has the prime decomposition 5 × 80141. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 80141
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 480,852
Proper Divisor Sum 80,147
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #400703 ← → #400711

Radix Representation

Decimal 400705
Binary 1100001110101000001 (19 bits)
Octal 0o1416501
Hexadecimal 0x61D41

Divisor Catalog (4)

1 5 80,141 400,705

Collatz Trajectory (68 steps to reach 1)

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

400,705 1,202,116 601,058 300,529 901,588 450,794 225,397 676,192 338,096 169,048 84,524 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 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

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