λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,024,005

45,024,005

5 × 13 × 37 × 97 × 193
Deficient Odd Composite

45,024,005 factors as 5 × 13 × 37 × 97 × 193. Its 32 positive divisors give a proper-divisor sum of 15,662,299, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 5 × 13 × 37 × 97 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 60,686,304
Proper Divisor Sum 15,662,299
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #45023999 ← → #45024013

Radix Representation

Decimal 45024005
Binary 10101011110000001100000101 (26 bits)
Octal 0o253601405
Hexadecimal 0x2AF0305

Divisor Catalog (32)

1 5 13 37 65 97 185 193 481 485 965 1,261 2,405 2,509 3,589 6,305 7,141 12,545 17,945 18,721 35,705 46,657 92,833 93,605 233,285 243,373 464,165 692,677 1,216,865 3,463,385 9,004,801 45,024,005

Collatz Trajectory (186 steps to reach 1)

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

45,024,005 135,072,016 67,536,008 33,768,004 16,884,002 8,442,001 25,326,004 12,663,002 6,331,501 18,994,504 9,497,252 4,748,626 2,374,313 7,122,940 3,561,470 1,780,735 5,342,206 2,671,103 8,013,310 4,006,655 12,019,966 6,009,983 18,029,950 9,014,975 27,044,926 13,522,463 40,567,390 20,283,695 60,851,086 30,425,543 91,276,630 45,638,315 136,914,946 68,457,473 205,372,420 102,686,210 51,343,105 154,029,316 77,014,658 38,507,329 115,521,988 57,760,994 28,880,497 86,641,492 43,320,746 21,660,373 64,981,120 32,490,560 16,245,280 8,122,640 4,061,320 2,030,660 1,015,330 507,665 1,522,996 761,498 380,749 1,142,248 571,124 285,562

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