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Atlas › Integer Profiles › Node 4,512,735

4,512,735

32 × 5 × 172 × 347
Deficient Odd Composite

4,512,735 factors as 3^2 × 5 × 17^2 × 347. Its 36 positive divisors give a proper-divisor sum of 3,820,473, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 17^2 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,333,208
Proper Divisor Sum 3,820,473
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4512727 ← → #4512737

Radix Representation

Decimal 4512735
Binary 10001001101101111011111 (23 bits)
Octal 0o21155737
Hexadecimal 0x44DBDF

Divisor Catalog (36)

1 3 5 9 15 17 45 51 85 153 255 289 347 765 867 1,041 1,445 1,735 2,601 3,123 4,335 5,205 5,899 13,005 15,615 17,697 29,495 53,091 88,485 100,283 265,455 300,849 501,415 902,547 1,504,245 4,512,735

Collatz Trajectory (110 steps to reach 1)

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

4,512,735 13,538,206 6,769,103 20,307,310 10,153,655 30,460,966 15,230,483 45,691,450 22,845,725 68,537,176 34,268,588 17,134,294 8,567,147 25,701,442 12,850,721 38,552,164 19,276,082 9,638,041 28,914,124 14,457,062 7,228,531 21,685,594 10,842,797 32,528,392 16,264,196 8,132,098 4,066,049 12,198,148 6,099,074 3,049,537 9,148,612 4,574,306 2,287,153 6,861,460 3,430,730 1,715,365 5,146,096 2,573,048 1,286,524 643,262 321,631 964,894 482,447 1,447,342 723,671 2,171,014 1,085,507 3,256,522 1,628,261 4,884,784 2,442,392 1,221,196 610,598 305,299 915,898 457,949 1,373,848 686,924 343,462 171,731

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