267,987

3 × 89329

Starting at 267,987, the Collatz iteration reaches 1 after 132 steps. The first transition is 803962; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 89329

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 357,320

Proper Divisor Sum 89,333

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #267961 ← → #268003

Radix Representation

Decimal	267987
Binary	1000001011011010011 (19 bits)
Octal	0o1013323
Hexadecimal	0x416D3

Divisor Catalog (4)

1 3 89,329 267,987

Collatz Trajectory (132 steps to reach 1)

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

267,987 803,962 401,981 1,205,944 602,972 301,486 150,743 452,230 226,115 678,346 339,173 1,017,520 508,760 254,380 127,190 63,595 190,786 95,393 286,180 143,090 71,545 214,636 107,318 53,659 160,978 80,489 241,468 120,734 60,367 181,102 90,551 271,654 135,827 407,482 203,741 611,224 305,612 152,806 76,403 229,210 114,605 343,816 171,908 85,954 42,977 128,932 64,466 32,233 96,700 48,350 24,175 72,526 36,263 108,790 54,395 163,186 81,593 244,780 122,390 61,195

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