λ
Integer Codex

597,649

13 × 31 × 1483
Deficient Odd Composite

For 597,649, the 8 positive divisors have a total of 664,832. Removing 597,649 leaves 67,183, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 31 × 1483
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 664,832
Proper Divisor Sum 67,183
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #597643 ← → #597659

Radix Representation

Decimal 597649
Binary 10010001111010010001 (20 bits)
Octal 0o2217221
Hexadecimal 0x91E91

Divisor Catalog (8)

1 13 31 403 1,483 19,279 45,973 597,649

Collatz Trajectory (141 steps to reach 1)

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

597,649 1,792,948 896,474 448,237 1,344,712 672,356 336,178 168,089 504,268 252,134 126,067 378,202 189,101 567,304 283,652 141,826 70,913 212,740 106,370 53,185 159,556 79,778 39,889 119,668 59,834 29,917 89,752 44,876 22,438 11,219 33,658 16,829 50,488 25,244 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751

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