λ
Ratio Atlas

40,554,229

67 × 499 × 1213
Deficient Odd Composite

40,554,229 factors as 67 × 499 × 1213. Its 8 positive divisors give a proper-divisor sum of 721,771, so this integer is deficient. The Collatz stopping time is 297 steps.

Prime Factor Structure

Factorization String 67 × 499 × 1213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 41,276,000
Proper Divisor Sum 721,771
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40554211 ← → #40554233

Radix Representation

Decimal 40554229
Binary 10011010101100111011110101 (26 bits)
Octal 0o232547365
Hexadecimal 0x26ACEF5

Divisor Catalog (8)

Collatz Trajectory (297 steps to reach 1)

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

40,554,229 121,662,688 60,831,344 30,415,672 15,207,836 7,603,918 3,801,959 11,405,878 5,702,939 17,108,818 8,554,409 25,663,228 12,831,614 6,415,807 19,247,422 9,623,711 28,871,134 14,435,567 43,306,702 21,653,351 64,960,054 32,480,027 97,440,082 48,720,041 146,160,124 73,080,062 36,540,031 109,620,094 54,810,047 164,430,142 82,215,071 246,645,214 123,322,607 369,967,822 184,983,911 554,951,734 277,475,867 832,427,602 416,213,801 1,248,641,404 624,320,702 312,160,351 936,481,054 468,240,527 1,404,721,582 702,360,791 2,107,082,374 1,053,541,187 3,160,623,562 1,580,311,781 4,740,935,344 2,370,467,672 1,185,233,836 592,616,918 296,308,459 888,925,378 444,462,689 1,333,388,068 666,694,034 333,347,017

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