546,765

3 × 5 × 36451

Starting at 546,765, the Collatz iteration reaches 1 after 208 steps. The first transition is 1640296; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 36451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 874,848

Proper Divisor Sum 328,083

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #546739 ← → #546781

Radix Representation

Decimal	546765
Binary	10000101011111001101 (20 bits)
Octal	0o2053715
Hexadecimal	0x857CD

Divisor Catalog (8)

1 3 5 15 36,451 109,353 182,255 546,765

Collatz Trajectory (208 steps to reach 1)

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

546,765 1,640,296 820,148 410,074 205,037 615,112 307,556 153,778 76,889 230,668 115,334 57,667 173,002 86,501 259,504 129,752 64,876 32,438 16,219 48,658 24,329 72,988 36,494 18,247 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243 249,730 124,865

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