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Atlas › Integer Profiles › Node 48,061,375

48,061,375

53 × 23 × 73 × 229
Deficient Odd Composite

48,061,375 factors as 5^3 × 23 × 73 × 229. Its 32 positive divisors give a proper-divisor sum of 15,661,505, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 5^3 × 23 × 73 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 63,722,880
Proper Divisor Sum 15,661,505
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #48061373 ← → #48061379

Radix Representation

Decimal 48061375
Binary 10110111010101101110111111 (26 bits)
Octal 0o267255677
Hexadecimal 0x2DD5BBF

Divisor Catalog (32)

1 5 23 25 73 115 125 229 365 575 1,145 1,679 1,825 2,875 5,267 5,725 8,395 9,125 16,717 26,335 28,625 41,975 83,585 131,675 209,875 384,491 417,925 658,375 1,922,455 2,089,625 9,612,275 48,061,375

Collatz Trajectory (230 steps to reach 1)

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

48,061,375 144,184,126 72,092,063 216,276,190 108,138,095 324,414,286 162,207,143 486,621,430 243,310,715 729,932,146 364,966,073 1,094,898,220 547,449,110 273,724,555 821,173,666 410,586,833 1,231,760,500 615,880,250 307,940,125 923,820,376 461,910,188 230,955,094 115,477,547 346,432,642 173,216,321 519,648,964 259,824,482 129,912,241 389,736,724 194,868,362 97,434,181 292,302,544 146,151,272 73,075,636 36,537,818 18,268,909 54,806,728 27,403,364 13,701,682 6,850,841 20,552,524 10,276,262 5,138,131 15,414,394 7,707,197 23,121,592 11,560,796 5,780,398 2,890,199 8,670,598 4,335,299 13,005,898 6,502,949 19,508,848 9,754,424 4,877,212 2,438,606 1,219,303 3,657,910 1,828,955

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