λ
Integer Codex

513,277

513277
Deficient Odd Prime

For 513,277, the 2 positive divisors have a total of 513,278. Removing 513,277 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 513277
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 513,278
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #513269 ← → #513283

Radix Representation

Decimal 513277
Binary 1111101010011111101 (19 bits)
Octal 0o1752375
Hexadecimal 0x7D4FD

Divisor Catalog (2)

Collatz Trajectory (151 steps to reach 1)

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

513,277 1,539,832 769,916 384,958 192,479 577,438 288,719 866,158 433,079 1,299,238 649,619 1,948,858 974,429 2,923,288 1,461,644 730,822 365,411 1,096,234 548,117 1,644,352 822,176 411,088 205,544 102,772 51,386 25,693 77,080 38,540 19,270 9,635 28,906 14,453 43,360 21,680 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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