λ
Ratio Atlas

43,802,431

43802431
Deficient Odd Prime

43,802,431 factors as 43802431. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 279 steps.

Prime Factor Structure

Factorization String 43802431
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 43,802,432
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #43802417 ← → #43802443

Radix Representation

Decimal 43802431
Binary 10100111000101111100111111 (26 bits)
Octal 0o247057477
Hexadecimal 0x29C5F3F

Divisor Catalog (2)

Collatz Trajectory (279 steps to reach 1)

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

43,802,431 131,407,294 65,703,647 197,110,942 98,555,471 295,666,414 147,833,207 443,499,622 221,749,811 665,249,434 332,624,717 997,874,152 498,937,076 249,468,538 124,734,269 374,202,808 187,101,404 93,550,702 46,775,351 140,326,054 70,163,027 210,489,082 105,244,541 315,733,624 157,866,812 78,933,406 39,466,703 118,400,110 59,200,055 177,600,166 88,800,083 266,400,250 133,200,125 399,600,376 199,800,188 99,900,094 49,950,047 149,850,142 74,925,071 224,775,214 112,387,607 337,162,822 168,581,411 505,744,234 252,872,117 758,616,352 379,308,176 189,654,088 94,827,044 47,413,522 23,706,761 71,120,284 35,560,142 17,780,071 53,340,214 26,670,107 80,010,322 40,005,161 120,015,484 60,007,742

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