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Atlas › Integer Profiles › Node 42,961,332

42,961,332

22 × 3 × 23 × 155657
Abundant Even Composite

42,961,332 factors as 2^2 × 3 × 23 × 155657. Its 24 positive divisors give a proper-divisor sum of 61,640,844, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 155657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 104,602,176
Proper Divisor Sum 61,640,844
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #42961297 ← → #42961333

Radix Representation

Decimal 42961332
Binary 10100011111000100110110100 (26 bits)
Octal 0o243704664
Hexadecimal 0x28F89B4

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 155,657 311,314 466,971 622,628 933,942 1,867,884 3,580,111 7,160,222 10,740,333 14,320,444 21,480,666 42,961,332

Collatz Trajectory (160 steps to reach 1)

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

42,961,332 21,480,666 10,740,333 32,221,000 16,110,500 8,055,250 4,027,625 12,082,876 6,041,438 3,020,719 9,062,158 4,531,079 13,593,238 6,796,619 20,389,858 10,194,929 30,584,788 15,292,394 7,646,197 22,938,592 11,469,296 5,734,648 2,867,324 1,433,662 716,831 2,150,494 1,075,247 3,225,742 1,612,871 4,838,614 2,419,307 7,257,922 3,628,961 10,886,884 5,443,442 2,721,721 8,165,164 4,082,582 2,041,291 6,123,874 3,061,937 9,185,812 4,592,906 2,296,453 6,889,360 3,444,680 1,722,340 861,170 430,585 1,291,756 645,878 322,939 968,818 484,409 1,453,228 726,614 363,307 1,089,922 544,961 1,634,884

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