171,303

3 × 11 × 29 × 179

Starting at 171,303, the Collatz iteration reaches 1 after 152 steps. The first transition is 513910; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 29 × 179

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 259,200

Proper Divisor Sum 87,897

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #171299 ← → #171317

Radix Representation

Decimal	171303
Binary	101001110100100111 (18 bits)
Octal	0o516447
Hexadecimal	0x29D27

Divisor Catalog (16)

1 3 11 29 33 87 179 319 537 957 1,969 5,191 5,907 15,573 57,101 171,303

Collatz Trajectory (152 steps to reach 1)

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

171,303 513,910 256,955 770,866 385,433 1,156,300 578,150 289,075 867,226 433,613 1,300,840 650,420 325,210 162,605 487,816 243,908 121,954 60,977 182,932 91,466 45,733 137,200 68,600 34,300 17,150 8,575 25,726 12,863 38,590 19,295 57,886 28,943 86,830 43,415 130,246 65,123 195,370 97,685 293,056 146,528 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182

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