631,977

3 × 210659

Starting at 631,977, the Collatz iteration reaches 1 after 278 steps. The first transition is 1895932; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 210659

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 842,640

Proper Divisor Sum 210,663

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #631937 ← → #631979

Radix Representation

Decimal	631977
Binary	10011010010010101001 (20 bits)
Octal	0o2322251
Hexadecimal	0x9A4A9

Divisor Catalog (4)

1 3 210,659 631,977

Collatz Trajectory (278 steps to reach 1)

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

631,977 1,895,932 947,966 473,983 1,421,950 710,975 2,132,926 1,066,463 3,199,390 1,599,695 4,799,086 2,399,543 7,198,630 3,599,315 10,797,946 5,398,973 16,196,920 8,098,460 4,049,230 2,024,615 6,073,846 3,036,923 9,110,770 4,555,385 13,666,156 6,833,078 3,416,539 10,249,618 5,124,809 15,374,428 7,687,214 3,843,607 11,530,822 5,765,411 17,296,234 8,648,117 25,944,352 12,972,176 6,486,088 3,243,044 1,621,522 810,761 2,432,284 1,216,142 608,071 1,824,214 912,107 2,736,322 1,368,161 4,104,484 2,052,242 1,026,121 3,078,364 1,539,182 769,591 2,308,774 1,154,387 3,463,162 1,731,581 5,194,744

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