515,467

499 × 1033

Starting at 515,467, the Collatz iteration reaches 1 after 226 steps. The first transition is 1546402; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 499 × 1033

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 517,000

Proper Divisor Sum 1,533

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #515429 ← → #515477

Radix Representation

Decimal	515467
Binary	1111101110110001011 (19 bits)
Octal	0o1756613
Hexadecimal	0x7DD8B

Divisor Catalog (4)

1 499 1,033 515,467

Collatz Trajectory (226 steps to reach 1)

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

515,467 1,546,402 773,201 2,319,604 1,159,802 579,901 1,739,704 869,852 434,926 217,463 652,390 326,195 978,586 489,293 1,467,880 733,940 366,970 183,485 550,456 275,228 137,614 68,807 206,422 103,211 309,634 154,817 464,452 232,226 116,113 348,340 174,170 87,085 261,256 130,628 65,314 32,657 97,972 48,986 24,493 73,480 36,740 18,370 9,185 27,556 13,778 6,889 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622

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