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Atlas › Integer Profiles › Node 45,307,575

45,307,575

32 × 52 × 59 × 3413
Deficient Odd Composite

45,307,575 factors as 3^2 × 5^2 × 59 × 3413. Its 36 positive divisors give a proper-divisor sum of 37,242,945, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 59 × 3413
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 82,550,520
Proper Divisor Sum 37,242,945
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #45307553 ← → #45307589

Radix Representation

Decimal 45307575
Binary 10101100110101011010110111 (26 bits)
Octal 0o254653267
Hexadecimal 0x2B356B7

Divisor Catalog (36)

1 3 5 9 15 25 45 59 75 177 225 295 531 885 1,475 2,655 3,413 4,425 10,239 13,275 17,065 30,717 51,195 85,325 153,585 201,367 255,975 604,101 767,925 1,006,835 1,812,303 3,020,505 5,034,175 9,061,515 15,102,525 45,307,575

Collatz Trajectory (155 steps to reach 1)

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

45,307,575 135,922,726 67,961,363 203,884,090 101,942,045 305,826,136 152,913,068 76,456,534 38,228,267 114,684,802 57,342,401 172,027,204 86,013,602 43,006,801 129,020,404 64,510,202 32,255,101 96,765,304 48,382,652 24,191,326 12,095,663 36,286,990 18,143,495 54,430,486 27,215,243 81,645,730 40,822,865 122,468,596 61,234,298 30,617,149 91,851,448 45,925,724 22,962,862 11,481,431 34,444,294 17,222,147 51,666,442 25,833,221 77,499,664 38,749,832 19,374,916 9,687,458 4,843,729 14,531,188 7,265,594 3,632,797 10,898,392 5,449,196 2,724,598 1,362,299 4,086,898 2,043,449 6,130,348 3,065,174 1,532,587 4,597,762 2,298,881 6,896,644 3,448,322 1,724,161

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