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Atlas › Integer Profiles › Node 945,972

945,972

22 × 33 × 19 × 461
Abundant Even Composite

945,972 factors as 2^2 × 3^3 × 19 × 461. Its 48 positive divisors give a proper-divisor sum of 1,641,228, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 19 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,587,200
Proper Divisor Sum 1,641,228
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #945961 ← → #945983

Radix Representation

Decimal 945972
Binary 11100110111100110100 (20 bits)
Octal 0o3467464
Hexadecimal 0xE6F34

Divisor Catalog (48)

1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 461 513 684 922 1,026 1,383 1,844 2,052 2,766 4,149 5,532 8,298 8,759 12,447 16,596 17,518 24,894 26,277 35,036 49,788 52,554 78,831 105,108 157,662 236,493 315,324 472,986 945,972

Collatz Trajectory (201 steps to reach 1)

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

945,972 472,986 236,493 709,480 354,740 177,370 88,685 266,056 133,028 66,514 33,257 99,772 49,886 24,943 74,830 37,415 112,246 56,123 168,370 84,185 252,556 126,278 63,139 189,418 94,709 284,128 142,064 71,032 35,516 17,758 8,879 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001

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