λ
Sigma Notebook

400,871

400871
Deficient Odd Prime

400,871 is odd and not a perfect square. Its factorization is 400871 and its 2 divisors sum to 400,872.

Prime Factor Structure

Factorization String 400871
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 400,872
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #400859 ← → #400903

Radix Representation

Decimal 400871
Binary 1100001110111100111 (19 bits)
Octal 0o1416747
Hexadecimal 0x61DE7

Divisor Catalog (2)

Collatz Trajectory (68 steps to reach 1)

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

400,871 1,202,614 601,307 1,803,922 901,961 2,705,884 1,352,942 676,471 2,029,414 1,014,707 3,044,122 1,522,061 4,566,184 2,283,092 1,141,546 570,773 1,712,320 856,160 428,080 214,040 107,020 53,510 26,755 80,266 40,133 120,400 60,200 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 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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