1,631,812

2² × 7 × 13 × 4483

Starting at 1,631,812, the Collatz iteration reaches 1 after 88 steps. The first transition is 815906; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 4483

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,515,456

Proper Divisor Sum 1,883,644

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1631797 ← → #1631821

Radix Representation

Decimal	1631812
Binary	110001110011001000100 (21 bits)
Octal	0o6163104
Hexadecimal	0x18E644

Divisor Catalog (24)

1 2 4 7 13 14 26 28 52 91 182 364 4,483 8,966 17,932 31,381 58,279 62,762 116,558 125,524 233,116 407,953 815,906 1,631,812

Collatz Trajectory (88 steps to reach 1)

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

1,631,812 815,906 407,953 1,223,860 611,930 305,965 917,896 458,948 229,474 114,737 344,212 172,106 86,053 258,160 129,080 64,540 32,270 16,135 48,406 24,203 72,610 36,305 108,916 54,458 27,229 81,688 40,844 20,422 10,211 30,634 15,317 45,952 22,976 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732

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