λ
Integer Codex

170,523

32 × 18947
Deficient Odd Composite

For 170,523, the 6 positive divisors have a total of 246,324. Removing 170,523 leaves 75,801, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 18947
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 246,324
Proper Divisor Sum 75,801
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #170509 ← → #170537

Radix Representation

Decimal 170523
Binary 101001101000011011 (18 bits)
Octal 0o515033
Hexadecimal 0x29A1B

Divisor Catalog (6)

1 3 9 18,947 56,841 170,523

Collatz Trajectory (108 steps to reach 1)

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

170,523 511,570 255,785 767,356 383,678 191,839 575,518 287,759 863,278 431,639 1,294,918 647,459 1,942,378 971,189 2,913,568 1,456,784 728,392 364,196 182,098 91,049 273,148 136,574 68,287 204,862 102,431 307,294 153,647 460,942 230,471 691,414 345,707 1,037,122 518,561 1,555,684 777,842 388,921 1,166,764 583,382 291,691 875,074 437,537 1,312,612 656,306 328,153 984,460 492,230 246,115 738,346 369,173 1,107,520 553,760 276,880 138,440 69,220 34,610 17,305 51,916 25,958 12,979 38,938

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