931,788

2² × 3² × 11 × 13 × 181

Starting at 931,788, the Collatz iteration reaches 1 after 77 steps. The first transition is 465894; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 13 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,782,416

Proper Divisor Sum 1,850,628

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #931783 ← → #931789

Radix Representation

Decimal	931788
Binary	11100011011111001100 (20 bits)
Octal	0o3433714
Hexadecimal	0xE37CC

Divisor Catalog (60 of 72)

1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 181 198 234 286 362 396 429 468 543 572 724 858 1,086 1,287 1,629 1,716 1,991 2,172 2,353 2,574 3,258 3,982 4,706 5,148 5,973 6,516 7,059 7,964 9,412 11,946 14,118 17,919 21,177 23,892 25,883 28,236

Collatz Trajectory (77 steps to reach 1)

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

931,788 465,894 232,947 698,842 349,421 1,048,264 524,132 262,066 131,033 393,100 196,550 98,275 294,826 147,413 442,240 221,120 110,560 55,280 27,640 13,820 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28

← Previous Integer #931,787 Browse Full Index Next Integer #931,789 →