670,406

2 × 11 × 31 × 983

Starting at 670,406, the Collatz iteration reaches 1 after 92 steps. The first transition is 335203; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 31 × 983

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,133,568

Proper Divisor Sum 463,162

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #670399 ← → #670409

Radix Representation

Decimal	670406
Binary	10100011101011000110 (20 bits)
Octal	0o2435306
Hexadecimal	0xA3AC6

Divisor Catalog (16)

1 2 11 22 31 62 341 682 983 1,966 10,813 21,626 30,473 60,946 335,203 670,406

Collatz Trajectory (92 steps to reach 1)

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

670,406 335,203 1,005,610 502,805 1,508,416 754,208 377,104 188,552 94,276 47,138 23,569 70,708 35,354 17,677 53,032 26,516 13,258 6,629 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119

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