λ
Ratio Atlas

42,043,945

5 × 61 × 137849
Deficient Odd Composite

42,043,945 factors as 5 × 61 × 137849. Its 8 positive divisors give a proper-divisor sum of 9,236,255, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 5 × 61 × 137849
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 51,280,200
Proper Divisor Sum 9,236,255
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #42043943 ← → #42043949

Radix Representation

Decimal 42043945
Binary 10100000011000101000101001 (26 bits)
Octal 0o240305051
Hexadecimal 0x2818A29

Divisor Catalog (8)

Collatz Trajectory (191 steps to reach 1)

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

42,043,945 126,131,836 63,065,918 31,532,959 94,598,878 47,299,439 141,898,318 70,949,159 212,847,478 106,423,739 319,271,218 159,635,609 478,906,828 239,453,414 119,726,707 359,180,122 179,590,061 538,770,184 269,385,092 134,692,546 67,346,273 202,038,820 101,019,410 50,509,705 151,529,116 75,764,558 37,882,279 113,646,838 56,823,419 170,470,258 85,235,129 255,705,388 127,852,694 63,926,347 191,779,042 95,889,521 287,668,564 143,834,282 71,917,141 215,751,424 107,875,712 53,937,856 26,968,928 13,484,464 6,742,232 3,371,116 1,685,558 842,779 2,528,338 1,264,169 3,792,508 1,896,254 948,127 2,844,382 1,422,191 4,266,574 2,133,287 6,399,862 3,199,931 9,599,794

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