136,435

5 × 13 × 2099

Starting at 136,435, the Collatz iteration reaches 1 after 206 steps. The first transition is 409306; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 2099

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 176,400

Proper Divisor Sum 39,965

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #136429 ← → #136447

Radix Representation

Decimal	136435
Binary	100001010011110011 (18 bits)
Octal	0o412363
Hexadecimal	0x214F3

Divisor Catalog (8)

1 5 13 65 2,099 10,495 27,287 136,435

Collatz Trajectory (206 steps to reach 1)

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

136,435 409,306 204,653 613,960 306,980 153,490 76,745 230,236 115,118 57,559 172,678 86,339 259,018 129,509 388,528 194,264 97,132 48,566 24,283 72,850 36,425 109,276 54,638 27,319 81,958 40,979 122,938 61,469 184,408 92,204 46,102 23,051 69,154 34,577 103,732 51,866 25,933 77,800 38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194

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