565,175

5² × 13 × 37 × 47

Starting at 565,175, the Collatz iteration reaches 1 after 133 steps. The first transition is 1695526; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13 × 37 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 791,616

Proper Divisor Sum 226,441

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #565171 ← → #565177

Radix Representation

Decimal	565175
Binary	10001001111110110111 (20 bits)
Octal	0o2117667
Hexadecimal	0x89FB7

Divisor Catalog (24)

1 5 13 25 37 47 65 185 235 325 481 611 925 1,175 1,739 2,405 3,055 8,695 12,025 15,275 22,607 43,475 113,035 565,175

Collatz Trajectory (133 steps to reach 1)

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

565,175 1,695,526 847,763 2,543,290 1,271,645 3,814,936 1,907,468 953,734 476,867 1,430,602 715,301 2,145,904 1,072,952 536,476 268,238 134,119 402,358 201,179 603,538 301,769 905,308 452,654 226,327 678,982 339,491 1,018,474 509,237 1,527,712 763,856 381,928 190,964 95,482 47,741 143,224 71,612 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969 305,908 152,954 76,477 229,432 114,716 57,358 28,679 86,038 43,019 129,058

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