102,210

2 × 3 × 5 × 3407

Starting at 102,210, the Collatz iteration reaches 1 after 79 steps. The first transition is 51105; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 3407

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 245,376

Proper Divisor Sum 143,166

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #102203 ← → #102217

Radix Representation

Decimal	102210
Binary	11000111101000010 (17 bits)
Octal	0o307502
Hexadecimal	0x18F42

Divisor Catalog (16)

1 2 3 5 6 10 15 30 3,407 6,814 10,221 17,035 20,442 34,070 51,105 102,210

Collatz Trajectory (79 steps to reach 1)

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

102,210 51,105 153,316 76,658 38,329 114,988 57,494 28,747 86,242 43,121 129,364 64,682 32,341 97,024 48,512 24,256 12,128 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112

← Previous Integer #102,209 Browse Full Index Next Integer #102,211 →