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Atlas › Integer Profiles › Node 51,140,349

51,140,349

33 × 13 × 367 × 397
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 13 × 367 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 82,019,840
Proper Divisor Sum 30,879,491
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #51140347 ← → #51140351

Radix Representation

Decimal 51140349
Binary 11000011000101011011111101 (26 bits)
Octal 0o303053375
Hexadecimal 0x30C56FD

Divisor Catalog (32)

1 3 9 13 27 39 117 351 367 397 1,101 1,191 3,303 3,573 4,771 5,161 9,909 10,719 14,313 15,483 42,939 46,449 128,817 139,347 145,699 437,097 1,311,291 1,894,087 3,933,873 5,682,261 17,046,783 51,140,349

Collatz Trajectory (380 steps to reach 1)

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

51,140,349 153,421,048 76,710,524 38,355,262 19,177,631 57,532,894 28,766,447 86,299,342 43,149,671 129,449,014 64,724,507 194,173,522 97,086,761 291,260,284 145,630,142 72,815,071 218,445,214 109,222,607 327,667,822 163,833,911 491,501,734 245,750,867 737,252,602 368,626,301 1,105,878,904 552,939,452 276,469,726 138,234,863 414,704,590 207,352,295 622,056,886 311,028,443 933,085,330 466,542,665 1,399,627,996 699,813,998 349,906,999 1,049,720,998 524,860,499 1,574,581,498 787,290,749 2,361,872,248 1,180,936,124 590,468,062 295,234,031 885,702,094 442,851,047 1,328,553,142 664,276,571 1,992,829,714 996,414,857 2,989,244,572 1,494,622,286 747,311,143 2,241,933,430 1,120,966,715 3,362,900,146 1,681,450,073 5,044,350,220 2,522,175,110

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