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Atlas › Integer Profiles › Node 945,906

945,906

2 × 3 × 13 × 67 × 181
Abundant Even Composite

945,906 factors as 2 × 3 × 13 × 67 × 181. Its 32 positive divisors give a proper-divisor sum of 1,133,262, so this integer is abundant. The Collatz stopping time is 307 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 67 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,079,168
Proper Divisor Sum 1,133,262
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #945899 ← → #945907

Radix Representation

Decimal 945906
Binary 11100110111011110010 (20 bits)
Octal 0o3467362
Hexadecimal 0xE6EF2

Divisor Catalog (32)

1 2 3 6 13 26 39 67 78 134 181 201 362 402 543 871 1,086 1,742 2,353 2,613 4,706 5,226 7,059 12,127 14,118 24,254 36,381 72,762 157,651 315,302 472,953 945,906

Collatz Trajectory (307 steps to reach 1)

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

945,906 472,953 1,418,860 709,430 354,715 1,064,146 532,073 1,596,220 798,110 399,055 1,197,166 598,583 1,795,750 897,875 2,693,626 1,346,813 4,040,440 2,020,220 1,010,110 505,055 1,515,166 757,583 2,272,750 1,136,375 3,409,126 1,704,563 5,113,690 2,556,845 7,670,536 3,835,268 1,917,634 958,817 2,876,452 1,438,226 719,113 2,157,340 1,078,670 539,335 1,618,006 809,003 2,427,010 1,213,505 3,640,516 1,820,258 910,129 2,730,388 1,365,194 682,597 2,047,792 1,023,896 511,948 255,974 127,987 383,962 191,981 575,944 287,972 143,986 71,993 215,980

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