λ
Integer Codex

677,563

677563
Deficient Odd Prime

For 677,563, the 2 positive divisors have a total of 677,564. Removing 677,563 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 677563
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 677,564
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #677561 ← → #677587

Radix Representation

Decimal 677563
Binary 10100101011010111011 (20 bits)
Octal 0o2453273
Hexadecimal 0xA56BB

Divisor Catalog (2)

1 677,563

Collatz Trajectory (154 steps to reach 1)

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

677,563 2,032,690 1,016,345 3,049,036 1,524,518 762,259 2,286,778 1,143,389 3,430,168 1,715,084 857,542 428,771 1,286,314 643,157 1,929,472 964,736 482,368 241,184 120,592 60,296 30,148 15,074 7,537 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728

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