97,635

3 × 5 × 23 × 283

Starting at 97,635, the Collatz iteration reaches 1 after 159 steps. The first transition is 292906; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 163,584

Proper Divisor Sum 65,949

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #97613 ← → #97649

Radix Representation

Decimal	97635
Binary	10111110101100011 (17 bits)
Octal	0o276543
Hexadecimal	0x17D63

Divisor Catalog (16)

1 3 5 15 23 69 115 283 345 849 1,415 4,245 6,509 19,527 32,545 97,635

Collatz Trajectory (159 steps to reach 1)

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

97,635 292,906 146,453 439,360 219,680 109,840 54,920 27,460 13,730 6,865 20,596 10,298 5,149 15,448 7,724 3,862 1,931 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107

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