35,035

5 × 7² × 11 × 13

Starting at 35,035, the Collatz iteration reaches 1 after 204 steps. The first transition is 105106; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 11 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 57,456

Proper Divisor Sum 22,421

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #35027 ← → #35051

Radix Representation

Decimal	35035
Binary	1000100011011011 (16 bits)
Octal	0o104333
Hexadecimal	0x88DB

Divisor Catalog (24)

1 5 7 11 13 35 49 55 65 77 91 143 245 385 455 539 637 715 1,001 2,695 3,185 5,005 7,007 35,035

Collatz Trajectory (204 steps to reach 1)

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

35,035 105,106 52,553 157,660 78,830 39,415 118,246 59,123 177,370 88,685 266,056 133,028 66,514 33,257 99,772 49,886 24,943 74,830 37,415 112,246 56,123 168,370 84,185 252,556 126,278 63,139 189,418 94,709 284,128 142,064 71,032 35,516 17,758 8,879 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334

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