λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,084,377

52,084,377

35 × 19 × 29 × 389
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 19 × 29 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 85,176,000
Proper Divisor Sum 33,091,623
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #52084369 ← → #52084381

Radix Representation

Decimal 52084377
Binary 11000110101011111010011001 (26 bits)
Octal 0o306537231
Hexadecimal 0x31ABE99

Divisor Catalog (48)

1 3 9 19 27 29 57 81 87 171 243 261 389 513 551 783 1,167 1,539 1,653 2,349 3,501 4,617 4,959 7,047 7,391 10,503 11,281 14,877 22,173 31,509 33,843 44,631 66,519 94,527 101,529 133,893 199,557 214,339 304,587 598,671 643,017 913,761 1,796,013 1,929,051 2,741,283 5,787,153 17,361,459 52,084,377

Collatz Trajectory (124 steps to reach 1)

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

52,084,377 156,253,132 78,126,566 39,063,283 117,189,850 58,594,925 175,784,776 87,892,388 43,946,194 21,973,097 65,919,292 32,959,646 16,479,823 49,439,470 24,719,735 74,159,206 37,079,603 111,238,810 55,619,405 166,858,216 83,429,108 41,714,554 20,857,277 62,571,832 31,285,916 15,642,958 7,821,479 23,464,438 11,732,219 35,196,658 17,598,329 52,794,988 26,397,494 13,198,747 39,596,242 19,798,121 59,394,364 29,697,182 14,848,591 44,545,774 22,272,887 66,818,662 33,409,331 100,227,994 50,113,997 150,341,992 75,170,996 37,585,498 18,792,749 56,378,248 28,189,124 14,094,562 7,047,281 21,141,844 10,570,922 5,285,461 15,856,384 7,928,192 3,964,096 1,982,048

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #52,084,376 Browse Full Index Next Integer #52,084,378 →