λ
Integer Codex

387,131

37 × 10463
Deficient Odd Composite

For 387,131, the 4 positive divisors have a total of 397,632. Removing 387,131 leaves 10,501, which gives the deficient classification.

Prime Factor Structure

Factorization String 37 × 10463
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 397,632
Proper Divisor Sum 10,501
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #387109 ← → #387137

Radix Representation

Decimal 387131
Binary 1011110100000111011 (19 bits)
Octal 0o1364073
Hexadecimal 0x5E83B

Divisor Catalog (4)

1 37 10,463 387,131

Collatz Trajectory (99 steps to reach 1)

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

387,131 1,161,394 580,697 1,742,092 871,046 435,523 1,306,570 653,285 1,959,856 979,928 489,964 244,982 122,491 367,474 183,737 551,212 275,606 137,803 413,410 206,705 620,116 310,058 155,029 465,088 232,544 116,272 58,136 29,068 14,534 7,267 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762

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