λ
Ratio Atlas

40,967,151

3 × 31 × 440507
Deficient Odd Composite

40,967,151 factors as 3 × 31 × 440507. Its 8 positive divisors give a proper-divisor sum of 15,417,873, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3 × 31 × 440507
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 56,385,024
Proper Divisor Sum 15,417,873
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #40967149 ← → #40967153

Radix Representation

Decimal 40967151
Binary 10011100010001101111101111 (26 bits)
Octal 0o234215757
Hexadecimal 0x2711BEF

Divisor Catalog (8)

Collatz Trajectory (214 steps to reach 1)

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

40,967,151 122,901,454 61,450,727 184,352,182 92,176,091 276,528,274 138,264,137 414,792,412 207,396,206 103,698,103 311,094,310 155,547,155 466,641,466 233,320,733 699,962,200 349,981,100 174,990,550 87,495,275 262,485,826 131,242,913 393,728,740 196,864,370 98,432,185 295,296,556 147,648,278 73,824,139 221,472,418 110,736,209 332,208,628 166,104,314 83,052,157 249,156,472 124,578,236 62,289,118 31,144,559 93,433,678 46,716,839 140,150,518 70,075,259 210,225,778 105,112,889 315,338,668 157,669,334 78,834,667 236,504,002 118,252,001 354,756,004 177,378,002 88,689,001 266,067,004 133,033,502 66,516,751 199,550,254 99,775,127 299,325,382 149,662,691 448,988,074 224,494,037 673,482,112 336,741,056

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