273,651

3 × 7 × 83 × 157

Starting at 273,651, the Collatz iteration reaches 1 after 163 steps. The first transition is 820954; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 83 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 424,704

Proper Divisor Sum 151,053

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #273643 ← → #273653

Radix Representation

Decimal	273651
Binary	1000010110011110011 (19 bits)
Octal	0o1026363
Hexadecimal	0x42CF3

Divisor Catalog (16)

1 3 7 21 83 157 249 471 581 1,099 1,743 3,297 13,031 39,093 91,217 273,651

Collatz Trajectory (163 steps to reach 1)

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

273,651 820,954 410,477 1,231,432 615,716 307,858 153,929 461,788 230,894 115,447 346,342 173,171 519,514 259,757 779,272 389,636 194,818 97,409 292,228 146,114 73,057 219,172 109,586 54,793 164,380 82,190 41,095 123,286 61,643 184,930 92,465 277,396 138,698 69,349 208,048 104,024 52,012 26,006 13,003 39,010 19,505 58,516 29,258 14,629 43,888 21,944 10,972 5,486 2,743 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420

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